7900988799600 has 1440 divisors, whose sum is σ = 31416876691200. Its totient is φ = 1894955212800.

The previous prime is 7900988799569. The next prime is 7900988799677. The reversal of 7900988799600 is 69978890097.

7900988799600 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 9 + 8 + 8 + 7 + 9 + 9 + 600 = 666.

It is a super-2 number, since 2×7900988799600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9766363996 + ... + 9766364804.

It is an arithmetic number, because the mean of its divisors is an integer number (21817275480).

Almost surely, 2^{7900988799600} 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 7900988799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708438345600).

7900988799600 is an abundant number, since it is smaller than the sum of its proper divisors (23515887891600).

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

7900988799600 is a wasteful number, since it uses less digits than its factorization.

7900988799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 7900988799600 in words is "seven trillion, nine hundred billion, nine hundred eighty-eight million, seven hundred ninety-nine thousand, six hundred".