7. One day, a group of monkeys went to pick peaches. When dividing the peaches they picked, they found that if each monkey got 4, there would be 52 left; if each monkey got 6, then one of the monkeys would get less than 6 peaches. Then the total number of peaches picked by this group of monkeys is  peaches.
II. 7.160 or 164.
Let there be $x$ monkeys, then the peaches they pick are $4x + 52$.
From the problem, we have $0 < 4x + 52 - 6(x - 1) < 6$.
Solving this, we get $x = 27$ or 28.
Therefore, $4x + 52 = 160$ or 164.