75321431546460 has 192 divisors, whose sum is σ = 231733712415744. Its totient is φ = 18128060928000.

The previous prime is 75321431546443. The next prime is 75321431546461. The reversal of 75321431546460 is 6464513412357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75321431546461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168501172 + ... + 168947588.

It is an arithmetic number, because the mean of its divisors is an integer number (1206946418832).

Almost surely, 2^{75321431546460} 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 75321431546460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115866856207872).

75321431546460 is an abundant number, since it is smaller than the sum of its proper divisors (156412280869284).

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

75321431546460 is a wasteful number, since it uses less digits than its factorization.

75321431546460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448284 (or 448282 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 75321431546460 in words is "seventy-five trillion, three hundred twenty-one billion, four hundred thirty-one million, five hundred forty-six thousand, four hundred sixty".