I would be careful. These clutches are rated to a certain HP because they will not function properly over the rated HP. They will eat expensive belts like they're nothing. Before you toss out $300+, research the topic. The 500 series will only come in a driver bore off 3/4". For the cost of a TC, it may make more sense to sell the GX620, save the money one the TC, and get a bike/quad style engine which will rev higher and also provide a gearbox.
Nothing against you B man (I don't know your background), but you are new here and some of your info seems less than up to par with me. I just don't want him taking the first thing he reads as well accepted fact, due to his own ignorance, and waste a large sum of money.
I'm not sure why they are rated differently for 2 and 4 strokes, but with a 4 stroke, like your GX 620, the 40/44 series says 18 HP. Blaz will be able to enlighten us as I'm sure he knows the limits of a 40/44 series TC.