870672610204320 has 1152 divisors, whose sum is σ = 3715211046758400. Its totient is φ = 168982823116800.

The previous prime is 870672610204303. The next prime is 870672610204429. The reversal of 870672610204320 is 23402016276078.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 870672610204320.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347765946 + ... + 350260614.

It is an arithmetic number, because the mean of its divisors is an integer number (3225009589200).

Almost surely, 2^{870672610204320} is an apocalyptic number.

870672610204320 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 870672610204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857605523379200).

870672610204320 is an abundant number, since it is smaller than the sum of its proper divisors (2844538436554080).

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

870672610204320 is a wasteful number, since it uses less digits than its factorization.

870672610204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494802 (or 2494787 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 870672610204320 in words is "eight hundred seventy trillion, six hundred seventy-two billion, six hundred ten million, two hundred four thousand, three hundred twenty".