656364864 has 112 divisors (see below), whose sum is σ = 1779219200. Its totient is φ = 213497856.

The previous prime is 656364853. The next prime is 656364871. The reversal of 656364864 is 468463656.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653114 + ... + 1653510.

Almost surely, 2^656364864 is an apocalyptic number.

656364864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889609600).

656364864 is an abundant number, since it is smaller than the sum of its proper divisors (1122854336).

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

656364864 is a wasteful number, since it uses less digits than its factorization.

656364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 656364864 is about 25619.6187325261. The cubic root of 656364864 is about 869.0573592574.

It can be divided in two parts, 65636 and 4864, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 656364864 in words is "six hundred fifty-six million, three hundred sixty-four thousand, eight hundred sixty-four".