75040932096 has 243 divisors, whose sum is σ = 234819839709. Its totient is φ = 23036921856.

The previous prime is 75040932077. The next prime is 75040932101. The reversal of 75040932096 is 69023904057.

It is a happy number.

The square root of 75040932096 is 273936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11100729600 + 63940202496 = 105360^2 + 252864^2 .

It is a super-2 number, since 2×75040932096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170935845 + ... + 170936283.

Almost surely, 2^75040932096 is an apocalyptic number.

75040932096 is the 273936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75040932096

75040932096 is an abundant number, since it is smaller than the sum of its proper divisors (159778907613).

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

75040932096 is an equidigital number, since it uses as much as digits as its factorization.

75040932096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 75040932096 in words is "seventy-five billion, forty million, nine hundred thirty-two thousand, ninety-six".