856964200464 has 120 divisors (see below), whose sum is σ = 2511762070272. Its totient is φ = 282826339200.

The previous prime is 856964200457. The next prime is 856964200471. The reversal of 856964200464 is 464002469658.

856964200464 is a `hidden beast` number, since 8 + 56 + 96 + 42 + 0 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (856964200457) and next prime (856964200471).

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 856964200464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698464 + ... + 1483839.

Almost surely, 2^856964200464 is an apocalyptic number.

It is an amenable number.

856964200464 is an abundant number, since it is smaller than the sum of its proper divisors (1654797869808).

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

856964200464 is a wasteful number, since it uses less digits than its factorization.

856964200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182427 (or 2182409 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 856964200464 in words is "eight hundred fifty-six billion, nine hundred sixty-four million, two hundred thousand, four hundred sixty-four".