70959928320 has 264 divisors, whose sum is σ = 254357517960. Its totient is φ = 18269798400.

The previous prime is 70959928309. The next prime is 70959928321. The reversal of 70959928320 is 2382995907.

70959928320 is a `hidden beast` number, since 7 + 0 + 9 + 599 + 28 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18140857344 + 52819070976 = 134688^2 + 229824^2 .

It is a super-2 number, since 2×70959928320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70959928321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309770 + ... + 1362870.

Almost surely, 2^70959928320 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 70959928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127178758980).

70959928320 is an abundant number, since it is smaller than the sum of its proper divisors (183397589640).

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

70959928320 is a wasteful number, since it uses less digits than its factorization.

70959928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53161 (or 53140 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 70959928320 in words is "seventy billion, nine hundred fifty-nine million, nine hundred twenty-eight thousand, three hundred twenty".