7958599920 has 480 divisors, whose sum is σ = 30223065600. Its totient is φ = 1938650112.

The previous prime is 7958599889. The next prime is 7958599921. The reversal of 7958599920 is 299958597.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7958599921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10711069 + ... + 10711811.

It is an arithmetic number, because the mean of its divisors is an integer number (62964720).

Almost surely, 2^7958599920 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 7958599920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111532800).

7958599920 is an abundant number, since it is smaller than the sum of its proper divisors (22264465680).

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

7958599920 is a wasteful number, since it uses less digits than its factorization.

7958599920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The square root of 7958599920 is about 89210.9854222001. The cubic root of 7958599920 is about 1996.5440248911.

The spelling of 7958599920 in words is "seven billion, nine hundred fifty-eight million, five hundred ninety-nine thousand, nine hundred twenty".