75234313417704 has 256 divisors, whose sum is σ = 224088245452800. Its totient is φ = 20593816320000.

The previous prime is 75234313417657. The next prime is 75234313417709. The reversal of 75234313417704 is 40771431343257.

It is a super-2 number, since 2×75234313417704² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75234313417709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609232329 + ... + 1609279079.

It is an arithmetic number, because the mean of its divisors is an integer number (875344708800).

Almost surely, 2^{75234313417704} 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 75234313417704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112044122726400).

75234313417704 is an abundant number, since it is smaller than the sum of its proper divisors (148853932035096).

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

75234313417704 is a wasteful number, since it uses less digits than its factorization.

75234313417704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49344 (or 49340 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 51.

The spelling of 75234313417704 in words is "seventy-five trillion, two hundred thirty-four billion, three hundred thirteen million, four hundred seventeen thousand, seven hundred four".