7968697429056 has 1008 divisors, whose sum is σ = 27534167740800. Its totient is φ = 2015870976000.

The previous prime is 7968697429027. The next prime is 7968697429061. The reversal of 7968697429056 is 6509247968697.

It is a super-2 number, since 2×7968697429056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17747655520 + ... + 17747655968.

It is an arithmetic number, because the mean of its divisors is an integer number (27315642600).

Almost surely, 2^{7968697429056} 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 7968697429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767083870400).

7968697429056 is an abundant number, since it is smaller than the sum of its proper divisors (19565470311744).

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

7968697429056 is a wasteful number, since it uses less digits than its factorization.

7968697429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 78.

The spelling of 7968697429056 in words is "seven trillion, nine hundred sixty-eight billion, six hundred ninety-seven million, four hundred twenty-nine thousand, fifty-six".