656316670464 has 1440 divisors, whose sum is σ = 2570796708480. Its totient is φ = 162533081088.

The previous prime is 656316670463. The next prime is 656316670487. The reversal of 656316670464 is 464076613656.

656316670464 is a `hidden beast` number, since 6 + 56 + 3 + 1 + 66 + 70 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 656316670464.

It is not an unprimeable number, because it can be changed into a prime (656316670463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5808112072 + ... + 5808112184.

It is an arithmetic number, because the mean of its divisors is an integer number (1785275492).

Almost surely, 2^656316670464 is an apocalyptic number.

656316670464 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 656316670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285398354240).

656316670464 is an abundant number, since it is smaller than the sum of its proper divisors (1914480038016).

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

656316670464 is an equidigital number, since it uses as much as digits as its factorization.

656316670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 656316670464 in words is "six hundred fifty-six billion, three hundred sixteen million, six hundred seventy thousand, four hundred sixty-four".