75572631456960 has 224 divisors, whose sum is σ = 261768170188800. Its totient is φ = 18319794135040.

The previous prime is 75572631456919. The next prime is 75572631457003. The reversal of 75572631456960 is 6965413627557.

It is a happy number.

It is a super-2 number, since 2×75572631456960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 75572631456891 and 75572631456900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246623521 + ... + 246929759.

Almost surely, 2^{75572631456960} 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 75572631456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130884085094400).

75572631456960 is an abundant number, since it is smaller than the sum of its proper divisors (186195538731840).

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

75572631456960 is a wasteful number, since it uses less digits than its factorization.

75572631456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329639 (or 329629 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 66.

The spelling of 75572631456960 in words is "seventy-five trillion, five hundred seventy-two billion, six hundred thirty-one million, four hundred fifty-six thousand, nine hundred sixty".