870626532672 has 840 divisors, whose sum is σ = 2967842232960. Its totient is φ = 251539292160.

The previous prime is 870626532641. The next prime is 870626532679. The reversal of 870626532672 is 276235626078.

870626532672 is a `hidden beast` number, since 8 + 7 + 0 + 626 + 5 + 3 + 2 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870626532679) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3212643897 + ... + 3212644167.

Almost surely, 2^870626532672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870626532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483921116480).

870626532672 is an abundant number, since it is smaller than the sum of its proper divisors (2097215700288).

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

870626532672 is a wasteful number, since it uses less digits than its factorization.

870626532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 870626532672 in words is "eight hundred seventy billion, six hundred twenty-six million, five hundred thirty-two thousand, six hundred seventy-two".