7995950860800 has 480 divisors, whose sum is σ = 30889651364352. Its totient is φ = 1785139937280.

The previous prime is 7995950860763. The next prime is 7995950860817. The reversal of 7995950860800 is 80680595997.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11212507 + ... + 11904293.

Almost surely, 2^{7995950860800} is an apocalyptic number.

7995950860800 is a gapful number since it is divisible by the number (70) 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 7995950860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444825682176).

7995950860800 is an abundant number, since it is smaller than the sum of its proper divisors (22893700503552).

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

7995950860800 is a wasteful number, since it uses less digits than its factorization.

7995950860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691868 (or 691847 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The spelling of 7995950860800 in words is "seven trillion, nine hundred ninety-five billion, nine hundred fifty million, eight hundred sixty thousand, eight hundred".