70821357264 has 400 divisors, whose sum is σ = 261105609600. Its totient is φ = 18041315328.

The previous prime is 70821357251. The next prime is 70821357293. The reversal of 70821357264 is 46275312807.

70821357264 is a `hidden beast` number, since 7 + 0 + 8 + 2 + 13 + 572 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2918172 + ... + 2942340.

It is an arithmetic number, because the mean of its divisors is an integer number (652764024).

Almost surely, 2^70821357264 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 70821357264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130552804800).

70821357264 is an abundant number, since it is smaller than the sum of its proper divisors (190284252336).

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

70821357264 is a wasteful number, since it uses less digits than its factorization.

70821357264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24232 (or 24217 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 70821357264 in words is "seventy billion, eight hundred twenty-one million, three hundred fifty-seven thousand, two hundred sixty-four".