My guess is Echeveria 'Lola' or Elegans. Mexican Snowball is the common name of the latter. It is definitely an Echeveria...so many different varieties. Does this picture look similar?
You need to get a tiny clay pot with a hole at the bottom. More light less water! A tiny bit of balanced fertilizer. Use only potting soil, potting soil made for cactus. No rock or gravel at the bottom of the pot. Water only when the pot, soil and plant feel very light. The pot should be 3" diameter 2" or less in height unless you combine this guy with other succulents. Echeveria 'Lola'