This type of cactus is what we call the Bunny cactus. When you look at the different shapes, you can see bunny ears and poses such as the bunny looking or holding still or even standing. The cactus is actually called Opuntia Microdasys.
I, of course, like the ones with the red and yellow glochids. Glochids are the small, thin, loose cactus spines, which are barbed and detach from the plant if touched or, as I have discovered with this particular cactus, the slightest movement. White glochids, like the ones in the photo, do not have fibers float so easily and, therefore, it is recommended around children to buy this type of cactus with white glochids.
Once I made the mistake of not wearing leather gloves when carrying this very pretty bright green prickly pear cactus to a spot in my yard to be planted. Apparently, it was this type of prickly pear with red and yellow glochids that the cactus fibers just fall off it like glitter, with barely a touch or any movement. They were all over my clothes, hair and skin. They were obnoxious and annoying for several days as they seeped into my skin, eyes, and blood stream and then they just disappear. Irritating for a few days, but the red glochids are so much prettier.