7958089160 has 128 divisors (see below), whose sum is σ = 20900678400. Its totient is φ = 2670796800.

The previous prime is 7958089151. The next prime is 7958089177. The reversal of 7958089160 is 619808597.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839760 + ... + 2842560.

It is an arithmetic number, because the mean of its divisors is an integer number (163286550).

Almost surely, 2^7958089160 is an apocalyptic number.

7958089160 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 7958089160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450339200).

7958089160 is an abundant number, since it is smaller than the sum of its proper divisors (12942589240).

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

7958089160 is a wasteful number, since it uses less digits than its factorization.

7958089160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The square root of 7958089160 is about 89208.1227243349. The cubic root of 7958089160 is about 1996.5013131641.

The spelling of 7958089160 in words is "seven billion, nine hundred fifty-eight million, eighty-nine thousand, one hundred sixty".