872346718656 has 672 divisors, whose sum is σ = 3046947391488. Its totient is φ = 242279009280.

The previous prime is 872346718643. The next prime is 872346718673. The reversal of 872346718656 is 656817643278.

872346718656 is a `hidden beast` number, since 87 + 23 + 467 + 18 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 872346718593 and 872346718602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549461031 + ... + 1549461593.

It is an arithmetic number, because the mean of its divisors is an integer number (4534147904).

Almost surely, 2^872346718656 is an apocalyptic number.

872346718656 is a gapful number since it is divisible by the number (86) 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 872346718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523473695744).

872346718656 is an abundant number, since it is smaller than the sum of its proper divisors (2174600672832).

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

872346718656 is a wasteful number, since it uses less digits than its factorization.

872346718656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 949 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 872346718656 in words is "eight hundred seventy-two billion, three hundred forty-six million, seven hundred eighteen thousand, six hundred fifty-six".