Random High Fives on Chessboard

$64$ people are standing on the squares of an $8\times8$ chessboard, one per square. Each person turns to face one of their orthogonal neighbours (the people on the squares directly above, below, left or right of them), chosen uniformly at random and independently of everyone else. If two people are facing each other, they will give each other a high five. On average, how many high fives can we expect to see?