7994625600 has 168 divisors, whose sum is σ = 28246872640. Its totient is φ = 1967892480.

The previous prime is 7994625577. The next prime is 7994625671. The reversal of 7994625600 is 65264997.

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 7994625600.

It is an unprimeable number.

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, 1660 + ... + 126459.

Almost surely, 2^7994625600 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 7994625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14123436320).

7994625600 is an abundant number, since it is smaller than the sum of its proper divisors (20252247040).

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

7994625600 is a wasteful number, since it uses less digits than its factorization.

7994625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128157 (or 128142 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 7994625600 is about 89412.6702430925. The cubic root of 7994625600 is about 1999.5520330036.

The spelling of 7994625600 in words is "seven billion, nine hundred ninety-four million, six hundred twenty-five thousand, six hundred".