75233906944 has 243 divisors, whose sum is σ = 182822984631. Its totient is φ = 30808028160.

The previous prime is 75233906939. The next prime is 75233906971. The reversal of 75233906944 is 44960933257.

It is a happy number.

The square root of 75233906944 is 274288.

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

It is a junction number, because it is equal to n+sod(n) for n = 75233906891 and 75233906900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 952327897 + ... + 952327975.

Almost surely, 2^75233906944 is an apocalyptic number.

75233906944 is the 274288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75233906944

75233906944 is an abundant number, since it is smaller than the sum of its proper divisors (107589077687).

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

75233906944 is an frugal number, since it uses more digits than its factorization.

75233906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 75233906944 in words is "seventy-five billion, two hundred thirty-three million, nine hundred six thousand, nine hundred forty-four".