If I rewind the track 1 of the debut album by The Music, I can get to track 0. To play this hidden track I need to rewind until I reach its beginning; I found no other way to access it.
Is there a name for such hidden tracks?
If you are looking for a technical term it is "pregap". The article states:
Not all CD drives can properly extract such hidden tracks. Some drives will report errors when reading these tracks, and some will seem to extract them properly, but the extracted file will contain only silence.
There is also a list of albums with tracks hidden in the pregap in Wikipedia.
I don't know any hardware or software player that can access it directly for sure but I would give VLC a try.