70910412977664 has 480 divisors, whose sum is σ = 234544357887840. Its totient is φ = 20430845116416.

The previous prime is 70910412977603. The next prime is 70910412977671. The reversal of 70910412977664 is 46677921401907.

70910412977664 is a `hidden beast` number, since 7 + 0 + 9 + 1 + 0 + 412 + 97 + 76 + 64 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200441767 + ... + 200795225.

It is an arithmetic number, because the mean of its divisors is an integer number (488634078933).

Almost surely, 2^{70910412977664} 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 70910412977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117272178943920).

70910412977664 is an abundant number, since it is smaller than the sum of its proper divisors (163633944910176).

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

70910412977664 is a wasteful number, since it uses less digits than its factorization.

70910412977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353710 (or 353691 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 70910412977664 in words is "seventy trillion, nine hundred ten billion, four hundred twelve million, nine hundred seventy-seven thousand, six hundred sixty-four".