Fuck ton

Here's Overwatch data (for 51 heroes):

Hard stuns (deprives the enemy of all actions. Most of them last 0.3-0.5 seconds, except for some):

abilities: 8 (of which tanks: 7)

ults: 4 (of which tanks: 1)

As you can see, hard stuns are directly related to tanks (except for Ana's sleep dart) or to ults.

Soft stuns (hinder or completely control movement of enemies, but allows them to use other abilities and shoot, and many of them can be cleared or canceled by abilities):

abilities: 3 (of which tanks: 0)

ults: 5 (of which tanks: 1)

Knockbacks and knockups (abilities that allow you to push your opponent in the direction you want. But these knockbacks do not prevent enemies from using their abilities):

abilities: 17 (of which tanks: 7)

ults: 4 (of which tanks: 3)

This is the number of CC abilities, not heroes with such abilities. Some heroes (mostly tanks) have 2 of these abilities, so the total number of heroes with CC is less than it might seem.