75040510464 has 120 divisors (see below), whose sum is σ = 220658976252. Its totient is φ = 24541470720.

The previous prime is 75040510459. The next prime is 75040510487. The reversal of 75040510464 is 46401504057.

It can be written as a sum of positive squares in 2 ways, for example, as 64597305600 + 10443204864 = 254160^2 + 102192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 90594 + ... + 397854.

Almost surely, 2^75040510464 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 75040510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110329488126).

75040510464 is an abundant number, since it is smaller than the sum of its proper divisors (145618465788).

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

75040510464 is a wasteful number, since it uses less digits than its factorization.

75040510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307338 (or 307319 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 75040510464 in words is "seventy-five billion, forty million, five hundred ten thousand, four hundred sixty-four".