627831200164 has 27 divisors (see below), whose sum is σ = 1278107525793. Its totient is φ = 269065760208.

The previous prime is 627831200149. The next prime is 627831200203. The reversal of 627831200164 is 461002138726.

The square root of 627831200164 is 792358.

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

627831200164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 156697222500 + 471133977664 = 395850^2 + 686392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11064714 + ... + 11121310.

Almost surely, 2^627831200164 is an apocalyptic number.

627831200164 is the 792358-th square number.

It is an amenable number.

627831200164 is an abundant number, since it is smaller than the sum of its proper divisors (650276325629).

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

627831200164 is an frugal number, since it uses more digits than its factorization.

627831200164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113212 (or 56606 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 627831200164 in words is "six hundred twenty-seven billion, eight hundred thirty-one million, two hundred thousand, one hundred sixty-four".