75677809216 has 63 divisors (see below), whose sum is σ = 151882407817. Its totient is φ = 37413056000.

The previous prime is 75677809211. The next prime is 75677809261. The reversal of 75677809216 is 61290877657.

The square root of 75677809216 is 275096.

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., 44453505600 + 31224303616 = 210840^2 + 176704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75677809211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 301505091 + ... + 301505341.

Almost surely, 2^75677809216 is an apocalyptic number.

75677809216 is the 275096-th square number.

It is an amenable number.

75677809216 is an abundant number, since it is smaller than the sum of its proper divisors (76204598601).

75677809216 is an frugal number, since it uses more digits than its factorization.

75677809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 75677809216 in words is "seventy-five billion, six hundred seventy-seven million, eight hundred nine thousand, two hundred sixteen".