In an interview with Q magazine, Beck Hansen named the "Supernaut" riff as his all-time favourite, equal with Neil Young's "Cinnamon Girl." The song was also a favorite of Frank Zappa and John Bonham.

In concert, this song frequently was the "drum solo" song.

The song was covered by Ministry side project 1000 Homo DJs in 1990. It was released as a 12-inch and CD single. The CD version of the single also contains the songs "Apathy" and "Better Ways", from the band's 1988 debut single, "Apathy."

Ned Raggett of Allmusic praised the cover, writing that "the title track is something else again, one of Al Jourgensen's best efforts at creating completely over-the-top industrial death disco. While it doesn't do much in the way of reinterpreting the original Black Sabbath number—no lyric changes, same basic pace—the amped-up guitars, huge drum fills, dancefloor-oriented pounding, and distorted lyrical screaming turn it into a massive, exhilarating crunch." Nevertheless, he stated that the b-side song, "Hey Asshole", was "consisting of little more than a shouted loop of the song title and a crunching rhythm as background for an extended rant by a character playing, indeed, an asshole of a cop"

Trent Reznor of Nine Inch Nails recorded the original vocals for the "Supernaut" cover. His vocals were not officially used because Reznor's label TVT Records refused to allow his appearance on the release. An oft-repeated story tells that instead of recording new vocals, the band's frontman Al Jourgensen merely altered Reznor's performance through a distortion effect to mask his identity.

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Wikipedia