7958728137 has 12 divisors (see below), whose sum is σ = 10638317040. Its totient is φ = 5292512352.

The previous prime is 7958728117. The next prime is 7958728163. The reversal of 7958728137 is 7318278597.

It is not a de Polignac number, because 7958728137 - 2⁶ = 7958728073 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7958728117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493914 + ... + 509772.

It is an arithmetic number, because the mean of its divisors is an integer number (886526420).

Almost surely, 2^7958728137 is an apocalyptic number.

It is an amenable number.

7958728137 is a deficient number, since it is larger than the sum of its proper divisors (2679588903).

7958728137 is an equidigital number, since it uses as much as digits as its factorization.

7958728137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16680 (or 16271 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 57.

The square root of 7958728137 is about 89211.7040359616. The cubic root of 7958728137 is about 1996.5547466057.

The spelling of 7958728137 in words is "seven billion, nine hundred fifty-eight million, seven hundred twenty-eight thousand, one hundred thirty-seven".