856724804964 has 240 divisors, whose sum is σ = 2592612520960. Its totient is φ = 241637955840.

The previous prime is 856724804951. The next prime is 856724804993. The reversal of 856724804964 is 469408427658.

856724804964 is a `hidden beast` number, since 8 + 5 + 67 + 2 + 4 + 80 + 496 + 4 = 666.

856724804964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68471469 + ... + 68483979.

Almost surely, 2^856724804964 is an apocalyptic number.

856724804964 is a gapful number since it is divisible by the number (84) 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 856724804964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296306260480).

856724804964 is an abundant number, since it is smaller than the sum of its proper divisors (1735887715996).

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

856724804964 is a wasteful number, since it uses less digits than its factorization.

856724804964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 856724804964 in words is "eight hundred fifty-six billion, seven hundred twenty-four million, eight hundred four thousand, nine hundred sixty-four".