7998515584000 has 352 divisors, whose sum is σ = 20109868833600. Its totient is φ = 3174627737600.

The previous prime is 7998515583983. The next prime is 7998515584009. The reversal of 7998515584000 is 4855158997.

It is a super-2 number, since 2×7998515584000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7998515584000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7998515584009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15714175746 + ... + 15714176254.

Almost surely, 2^{7998515584000} 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 7998515584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054934416800).

7998515584000 is an abundant number, since it is smaller than the sum of its proper divisors (12111353249600).

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

7998515584000 is a wasteful number, since it uses less digits than its factorization.

7998515584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 61.

The spelling of 7998515584000 in words is "seven trillion, nine hundred ninety-eight billion, five hundred fifteen million, five hundred eighty-four thousand".