656680752 has 180 divisors, whose sum is σ = 2302613040. Its totient is φ = 173166336.

The previous prime is 656680747. The next prime is 656680769. The reversal of 656680752 is 257086656.

656680752 is a `hidden beast` number, since 6 + 566 + 80 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×656680752² = 862459220094571008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 656680698 and 656680707.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88149 + ... + 95307.

Almost surely, 2^656680752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151306520).

656680752 is an abundant number, since it is smaller than the sum of its proper divisors (1645932288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

656680752 is a wasteful number, since it uses less digits than its factorization.

656680752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 656680752 is about 25625.7829538924. The cubic root of 656680752 is about 869.1967536592.

The spelling of 656680752 in words is "six hundred fifty-six million, six hundred eighty thousand, seven hundred fifty-two".