70882379936928 has 288 divisors, whose sum is σ = 231371184844800. Its totient is φ = 20163922426368.

The previous prime is 70882379936843. The next prime is 70882379936939. The reversal of 70882379936928 is 82963997328807.

70882379936928 is a `hidden beast` number, since 7 + 0 + 8 + 82 + 379 + 93 + 69 + 28 = 666.

70882379936928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×70882379936928² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4451563975 + ... + 4451579897.

It is an arithmetic number, because the mean of its divisors is an integer number (803372169600).

Almost surely, 2^{70882379936928} 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 70882379936928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115685592422400).

70882379936928 is an abundant number, since it is smaller than the sum of its proper divisors (160488804907872).

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

70882379936928 is a wasteful number, since it uses less digits than its factorization.

70882379936928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25424 (or 25413 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 70882379936928 in words is "seventy trillion, eight hundred eighty-two billion, three hundred seventy-nine million, nine hundred thirty-six thousand, nine hundred twenty-eight".