How will Azrael die, and who will die after him?

Allah Almighty is the Living, the Everlasting. The angels will die like the rest of creation. When all creation perishes, none will remain but Allah. The name of the Angel of Death as "Azrael" has not been authentically reported. As for how the Angel of Death will die, there is no benefit in pondering over this unseen matter. Angels do not procreate, and Allah is capable of annihilating angels and others by His command: "Be," and it is.