Otto Preminger originally wanted Bob Dylan to score the movie. He invited Dylan and his wife to a screening of a rough cut of the movie in Preminger's Hollywood mansion. After the screening Dylan surprised everybody from his entourage, who thought the film was a disaster, by requesting a second screening but at one condition: he wanted to be left alone with his wife in the house during it. Preminger happily obliged, convinced that Dylan would accept the job. However, Dylan showed no further interest in the movie. He acknowledged later that he and his wife weren't interested at all by the film but they loved the mansion's style so much that they requested this second screening to freely explore it, write down what they liked and take inspiration for their own house.
The boat used for God's yacht in the film was borrowed from John Wayne. Director Otto Preminger had directed Wayne in In Harm's Way (1965) and Wayne donated the yacht for use in the film. It was a US Navy minesweeper, USS YMS-328, during WWII. After it had been decommissioned and converted to a personal yacht by previous owners, Wayne bought it in 1962 and renamed it "Wild Goose." He kept it, making more modifications over the years, until shortly before his death in 1979. It passed through a couple more private owners and since 1996 has been owned and operated by Hornblower Cruises in Newport Beach, California where it is available for public cruises and private charters. In 2011 it was added to the US National Register of Historic Places.
In the film's TV-viewing opening, Otto Preminger's film In Harm's Way (1965) is featured. Preminger always complained about having his films cut to pieces on TV. Thus, Carol Channing's character says, "No, I never watch films on TV . . . they always cut them to pieces."
This is one of the very few films in which the closing credits are entirely sung; the only other known example is ¿Por qué te engaña tu marido? (1969). It was composed by Harry Nilsson, who also plays a tower guard in the film.
Even though Groucho Marx was 78 years old and well past his Marx Brothers prime, Otto Preminger browbeat him into wearing his old grease paint and mustache get-up for the movie. He also berated Marx on the set, causing co-star Jackie Gleason to physically threaten Preminger to never try the same bullying behavior with him.