7995921600 has 168 divisors, whose sum is σ = 26387663760. Its totient is φ = 2119700480.

The previous prime is 7995921497. The next prime is 7995921607. The reversal of 7995921600 is 61295997.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7995921600.

It is not an unprimeable number, because it can be changed into a prime (7995921607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825586 + ... + 835214.

Almost surely, 2^7995921600 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 7995921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193831880).

7995921600 is an abundant number, since it is smaller than the sum of its proper divisors (18391742160).

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

7995921600 is a wasteful number, since it uses less digits than its factorization.

7995921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The square root of 7995921600 is about 89419.9172444260. The cubic root of 7995921600 is about 1999.6600755623.

The spelling of 7995921600 in words is "seven billion, nine hundred ninety-five million, nine hundred twenty-one thousand, six hundred".