656407764 has 144 divisors (see below), whose sum is σ = 1811496960. Its totient is φ = 199805760.

The previous prime is 656407753. The next prime is 656407769. The reversal of 656407764 is 467704656.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656407769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2746357 + ... + 2746595.

It is an arithmetic number, because the mean of its divisors is an integer number (12579840).

Almost surely, 2^656407764 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 656407764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

656407764 is an abundant number, since it is smaller than the sum of its proper divisors (1155089196).

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

656407764 is a wasteful number, since it uses less digits than its factorization.

656407764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 656407764 is about 25620.4559678394. The cubic root of 656407764 is about 869.0762927046.

The spelling of 656407764 in words is "six hundred fifty-six million, four hundred seven thousand, seven hundred sixty-four".