60 would be tough to do in a 12 hour period - that's five beers an hour. However, if you stretch it out over 18 hours, that's only just over 3 beers an hour. Now obviously, that's not as easy as it sounds, but by no means impossible.
A friend and I once damn near floated a keg by ourselves Christmas break of '98 or '99. My kegerator was empty and we were bored, so we got a keg with plans of having a couple of friends over and getting drunk. We got the keg, but that's about as far as it went. He and I had a few 32oz cups full, but no more than three or four apiece. We called it a night - he went home and I went to bed.
We both woke up thinking the same thing (god that sounds gay), though - because he called me at 8am and said "I'll bring the pancakes if you supply the beer." Within the hour, we had our first beers and were sitting down to pancakes. We proceeded to drink and play some Crash Bandicoot racing game on PS all day. Sometime after dark, two of my neighbors came over and started drinking with us. Not sure when it ended, but we woke up the next morning to an empty keg.
IIRC, a keg is 128 pints. That's a little over 2000 ounces. Taking out the beer we drank the night before and the beer my neighbors drank, that puts my buddy and I at about 64 12oz beers each for a day. That's averaging 4 an hour, but I'm sure we drank a lot more than that early on, and less than that by the end of the night.
Looking back, it was one of those "how did we not die" situations. However, that was at our "prime" (we all partied way too hard for those two years) - no way I could pull a stunt like that, now.
Last thing I did like that was about a year ago. I drank 9 quarts of Bud Light in right at two hours. That's right at a case. Better than that, though, my wife drank 6 quarts in the same amount of time. She had a little rougher go with it (she puked not long after), but impressive, as she didn't drink at all until she met me in December of '01.