627880327321 has 9 divisors (see below), whose sum is σ = 679905236829. Its totient is φ = 579572331936.

The previous prime is 627880327309. The next prime is 627880327411. The reversal of 627880327321 is 123723088726.

It is a happy number.

The square root of 627880327321 is 792389.

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

It can be written as a sum of positive squares in 4 ways, for example, as 287361395721 + 340518931600 = 536061^2 + 583540^2 .

It is not a de Polignac number, because 627880327321 - 2²¹ = 627878230169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (627880327621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10270581 + ... + 10331533.

Almost surely, 2^627880327321 is an apocalyptic number.

627880327321 is the 792389-th square number.

627880327321 is the 396195-th centered octagonal number.

It is an amenable number.

627880327321 is a deficient number, since it is larger than the sum of its proper divisors (52024909508).

627880327321 is an frugal number, since it uses more digits than its factorization.

627880327321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121932 (or 60966 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 627880327321 by its sum of digits (49), we get a square (30766136038729 = 5546723²).

The spelling of 627880327321 in words is "six hundred twenty-seven billion, eight hundred eighty million, three hundred twenty-seven thousand, three hundred twenty-one".