The Count's main purpose is educating children on simple mathematics concepts, most notably counting. The Count has an obsessive love of counting (arithomania), and will count anything and everything, regardless of size, amount, or how much annoyance he is causing the other muppets. According to his theme song, The Song of the Count: "When I'm alone, I count myself. One count!" Following a count, the Count always laughs maniacally, "Ha Ha Ha!" and thunder roars overhead. When he sings, the background music resembles gypsy music, no matter what the song.
The Count lives in a castle which he shares with many bats, sometimes he counts them. He bears a noticeable resemblance to Bela Lugosi as Count Dracula, complete with pointed eye-teeth; but it would appear that he is different from other vampires. For example, vampires wither in direct sunlight; the Count does not, and in fact, enjoys being outside.
The Count is very occasionally seen to have a girlfriend, Countess Dahling Von Dahling.
His brother and mother have made appearance on the show. He has a cat, Fatatatita, as well as a family of pet bats, Batty Bat, Grisha, Misha, Sasha, and Tattiana.
In one episode, his sheep went on strike because he would not stop counting them. In another, he stays for the night at Bert and Ernie's house, but counts all night, causing Ernie to not be able to sleep.
For many people who would become gothic later in life, the Count was the first vampire to which they were exposed.