7991087764032 has 336 divisors, whose sum is σ = 24368469952320. Its totient is φ = 2496545280000.

The previous prime is 7991087764003. The next prime is 7991087764073. The reversal of 7991087764032 is 2304677801997.

7991087764032 is a `hidden beast` number, since 79 + 9 + 10 + 87 + 76 + 403 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101257043 + ... + 2101260845.

Almost surely, 2^{7991087764032} is an apocalyptic number.

7991087764032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7991087764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184234976160).

7991087764032 is an abundant number, since it is smaller than the sum of its proper divisors (16377382188288).

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

7991087764032 is a wasteful number, since it uses less digits than its factorization.

7991087764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 7991087764032 in words is "seven trillion, nine hundred ninety-one billion, eighty-seven million, seven hundred sixty-four thousand, thirty-two".