70879431168 has 960 divisors, whose sum is σ = 272612051712. Its totient is φ = 17199267840.

The previous prime is 70879431149. The next prime is 70879431191. The reversal of 70879431168 is 86113497807.

70879431168 is a `hidden beast` number, since 70 + 87 + 9 + 431 + 1 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434843055 + ... + 434843217.

Almost surely, 2^70879431168 is an apocalyptic number.

70879431168 is a gapful number since it is divisible by the number (78) 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 70879431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136306025856).

70879431168 is an abundant number, since it is smaller than the sum of its proper divisors (201732620544).

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

70879431168 is a wasteful number, since it uses less digits than its factorization.

70879431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 70879431168 in words is "seventy billion, eight hundred seventy-nine million, four hundred thirty-one thousand, one hundred sixty-eight".