856750694400 has 672 divisors, whose sum is σ = 3225196699200. Its totient is φ = 222835507200.

The previous prime is 856750694381. The next prime is 856750694477. The reversal of 856750694400 is 4496057658.

856750694400 is a `hidden beast` number, since 8 + 5 + 6 + 7 + 506 + 94 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226711711 + ... + 226715489.

It is an arithmetic number, because the mean of its divisors is an integer number (4799399850).

Almost surely, 2^856750694400 is an apocalyptic number.

856750694400 is a gapful number since it is divisible by the number (80) 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 856750694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612598349600).

856750694400 is an abundant number, since it is smaller than the sum of its proper divisors (2368446004800).

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

856750694400 is a wasteful number, since it uses less digits than its factorization.

856750694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 856750694400 in words is "eight hundred fifty-six billion, seven hundred fifty million, six hundred ninety-four thousand, four hundred".