7989991317504 has 1792 divisors, whose sum is σ = 30448788480000. Its totient is φ = 2060090081280.

The previous prime is 7989991317499. The next prime is 7989991317557. The reversal of 7989991317504 is 4057131999897.

7989991317504 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 99 + 13 + 17 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×7989991317504² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33153490824 + ... + 33153491064.

Almost surely, 2^{7989991317504} 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 7989991317504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224394240000).

7989991317504 is an abundant number, since it is smaller than the sum of its proper divisors (22458797162496).

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

7989991317504 is a wasteful number, since it uses less digits than its factorization.

7989991317504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 7989991317504 in words is "seven trillion, nine hundred eighty-nine billion, nine hundred ninety-one million, three hundred seventeen thousand, five hundred four".