7913198880 has 384 divisors, whose sum is σ = 29380700160. Its totient is φ = 1985679360.

The previous prime is 7913198857. The next prime is 7913198897. The reversal of 7913198880 is 888913197.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4954242 + ... + 4955838.

It is an arithmetic number, because the mean of its divisors is an integer number (76512240).

Almost surely, 2^7913198880 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 7913198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690350080).

7913198880 is an abundant number, since it is smaller than the sum of its proper divisors (21467501280).

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

7913198880 is a wasteful number, since it uses less digits than its factorization.

7913198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The square root of 7913198880 is about 88956.1626870224. The cubic root of 7913198880 is about 1992.7402532567.

The spelling of 7913198880 in words is "seven billion, nine hundred thirteen million, one hundred ninety-eight thousand, eight hundred eighty".