70928832442320 has 320 divisors, whose sum is σ = 245577942720000. Its totient is φ = 18816255811584.

The previous prime is 70928832442313. The next prime is 70928832442387. The reversal of 70928832442320 is 2324423882907.

70928832442320 is a `hidden beast` number, since 7 + 0 + 9 + 2 + 88 + 324 + 4 + 232 + 0 = 666.

It is a super-2 number, since 2×70928832442320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4138920792 + ... + 4138937928.

It is an arithmetic number, because the mean of its divisors is an integer number (767431071000).

Almost surely, 2^{70928832442320} 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 70928832442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122788971360000).

70928832442320 is an abundant number, since it is smaller than the sum of its proper divisors (174649110277680).

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

70928832442320 is a wasteful number, since it uses less digits than its factorization.

70928832442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26987 (or 26975 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 70928832442320 in words is "seventy trillion, nine hundred twenty-eight billion, eight hundred thirty-two million, four hundred forty-two thousand, three hundred twenty".