70996152019968 has 792 divisors, whose sum is σ = 239906600474112. Its totient is φ = 20162806530048.

The previous prime is 70996152019951. The next prime is 70996152019997. The reversal of 70996152019968 is 86991025169907.

70996152019968 is a `hidden beast` number, since 7 + 0 + 9 + 9 + 6 + 1 + 520 + 1 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 70996152019896 and 70996152019905.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73418977821 + ... + 73418978787.

It is an arithmetic number, because the mean of its divisors is an integer number (302912374336).

Almost surely, 2^{70996152019968} 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 70996152019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119953300237056).

70996152019968 is an abundant number, since it is smaller than the sum of its proper divisors (168910448454144).

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

70996152019968 is a wasteful number, since it uses less digits than its factorization.

70996152019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 70996152019968 in words is "seventy trillion, nine hundred ninety-six billion, one hundred fifty-two million, nineteen thousand, nine hundred sixty-eight".