856681677684 has 144 divisors (see below), whose sum is σ = 2493936821376. Its totient is φ = 242880768000.

The previous prime is 856681677653. The next prime is 856681677701. The reversal of 856681677684 is 486776186658.

856681677684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 146413359 + ... + 146419209.

It is an arithmetic number, because the mean of its divisors is an integer number (17319005704).

Almost surely, 2^856681677684 is an apocalyptic number.

856681677684 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 856681677684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246968410688).

856681677684 is an abundant number, since it is smaller than the sum of its proper divisors (1637255143692).

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

856681677684 is a wasteful number, since it uses less digits than its factorization.

856681677684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10241 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 856681677684 in words is "eight hundred fifty-six billion, six hundred eighty-one million, six hundred seventy-seven thousand, six hundred eighty-four".