75597077736964 has 45 divisors (see below), whose sum is σ = 154336589966741. Its totient is φ = 32398382425920.

The previous prime is 75597077736941. The next prime is 75597077737007. The reversal of 75597077736964 is 46963777079557.

The square root of 75597077736964 is 8694658.

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

It can be written as a sum of positive squares in only one way, i.e., 25699242191364 + 49897835545600 = 5069442^2 + 7063840^2 .

It is a super-3 number, since 3×75597077736964³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 852032124 + ... + 852120844.

Almost surely, 2^{75597077736964} is an apocalyptic number.

75597077736964 is the 8694658-th square number.

It is an amenable number.

75597077736964 is an abundant number, since it is smaller than the sum of its proper divisors (78739512229777).

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

75597077736964 is an frugal number, since it uses more digits than its factorization.

75597077736964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177474 (or 88730 counting only the distinct ones).

The product of its (nonzero) digits is 14702763600, while the sum is 82.

The spelling of 75597077736964 in words is "seventy-five trillion, five hundred ninety-seven billion, seventy-seven million, seven hundred thirty-six thousand, nine hundred sixty-four".