7968115584000 has 2816 divisors, whose sum is σ = 36154309201920. Its totient is φ = 1703116800000.

The previous prime is 7968115583993. The next prime is 7968115584019. The reversal of 7968115584000 is 4855118697.

It is a happy number.

7968115584000 is a `hidden beast` number, since 7 + 9 + 6 + 81 + 1 + 558 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×7968115584000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11366783650 + ... + 11366784350.

Almost surely, 2^{7968115584000} 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 7968115584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077154600960).

7968115584000 is an abundant number, since it is smaller than the sum of its proper divisors (28186193617920).

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

7968115584000 is a wasteful number, since it uses less digits than its factorization.

7968115584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 7968115584000 in words is "seven trillion, nine hundred sixty-eight billion, one hundred fifteen million, five hundred eighty-four thousand".