It's a regular "English" threaded BB. AKA "British", "BSC", "BSA", and "ISO". But, yeah, the normal threaded 3 piece-type BB shell. 1.375"x 24tpi. Normal BB shells like this are 68mm wide, side-to-side, but the OCC is waaaaaaaaaaaaaay wide to clear the rear tire. I'm not sure about the spindle, but it'd have to be pretty long to clear that goofy rear tire. If you're changing the cranks, the required spindle length will likely change, too. The original BBs had the separate spindle with the caged bearings. Oh, and the drive-side is reverse-threaded, too.
You can find replacement BB sets and spindles on ebay and other spots online.