One. Well, other than a couple of severe crashes, but I'm guessing that's not what you mean.
Seriously. One, out of 7-8 years of increasingly dedicated riding. Hundreds and hundreds of rides. I remember telling one of the guys I was riding with that day that I'd never felt bad on a bike ride before.
I understand Louis's comment about a "week long tour". I just don't put myself in a position to have "mandatory" rides and uncomfortable accommodations between rides.