75938006900 has 36 divisors (see below), whose sum is σ = 188326258848. Its totient is φ = 26035887840.

The previous prime is 75938006873. The next prime is 75938006929. The reversal of 75938006900 is 960083957.

It is a super-2 number, since 2×75938006900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54240734 + ... + 54242133.

It is an arithmetic number, because the mean of its divisors is an integer number (5231284968).

Almost surely, 2^75938006900 is an apocalyptic number.

75938006900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75938006900 is an abundant number, since it is smaller than the sum of its proper divisors (112388251948).

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

75938006900 is a wasteful number, since it uses less digits than its factorization.

75938006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108482888 (or 108482881 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 75938006900 in words is "seventy-five billion, nine hundred thirty-eight million, six thousand, nine hundred".