75466922991072 has 96 divisors (see below), whose sum is σ = 202356454874112. Its totient is φ = 24615440500224.

The previous prime is 75466922991029. The next prime is 75466922991133. The reversal of 75466922991072 is 27019922966457.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 75466922990988 and 75466922991006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20678893 + ... + 24053075.

It is an arithmetic number, because the mean of its divisors is an integer number (2107879738272).

Almost surely, 2^{75466922991072} 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 75466922991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101178227437056).

75466922991072 is an abundant number, since it is smaller than the sum of its proper divisors (126889531883040).

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

75466922991072 is a wasteful number, since it uses less digits than its factorization.

75466922991072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379200 (or 3379192 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 69.

The spelling of 75466922991072 in words is "seventy-five trillion, four hundred sixty-six billion, nine hundred twenty-two million, nine hundred ninety-one thousand, seventy-two".