70652790432 has 672 divisors, whose sum is σ = 260822467584. Its totient is φ = 18363801600.

The previous prime is 70652790427. The next prime is 70652790443. The reversal of 70652790432 is 23409725607.

70652790432 is a `hidden beast` number, since 7 + 0 + 6 + 527 + 90 + 4 + 32 = 666.

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

It is a super-2 number, since 2×70652790432² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 86056582 + ... + 86057402.

It is an arithmetic number, because the mean of its divisors is an integer number (388128672).

Almost surely, 2^70652790432 is an apocalyptic number.

70652790432 is a gapful number since it is divisible by the number (72) 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 70652790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130411233792).

70652790432 is an abundant number, since it is smaller than the sum of its proper divisors (190169677152).

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

70652790432 is a wasteful number, since it uses less digits than its factorization.

70652790432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 70652790432 in words is "seventy billion, six hundred fifty-two million, seven hundred ninety thousand, four hundred thirty-two".