627665465376641 has 2 divisors, whose sum is σ = 627665465376642. Its totient is φ = 627665465376640.

The previous prime is 627665465376571. The next prime is 627665465376749. The reversal of 627665465376641 is 146673564566726.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426987671142400 + 200677794234241 = 20663680^2 + 14166079^2 .

It is a cyclic number.

It is not a de Polignac number, because 627665465376641 - 2³⁸ = 627390587469697 is a prime.

It is a super-3 number, since 3×627665465376641³ (a number of 45 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (627665465376941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313832732688320 + 313832732688321.

It is an arithmetic number, because the mean of its divisors is an integer number (313832732688321).

Almost surely, 2^{627665465376641} is an apocalyptic number.

It is an amenable number.

627665465376641 is a deficient number, since it is larger than the sum of its proper divisors (1).

627665465376641 is an equidigital number, since it uses as much as digits as its factorization.

627665465376641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5486745600, while the sum is 74.

The spelling of 627665465376641 in words is "six hundred twenty-seven trillion, six hundred sixty-five billion, four hundred sixty-five million, three hundred seventy-six thousand, six hundred forty-one".