627713468455311 has 48 divisors (see below), whose sum is σ = 1061527674392640. Its totient is φ = 349935403184640.

The previous prime is 627713468455277. The next prime is 627713468455319. The reversal of 627713468455311 is 113554864317726.

627713468455311 is a `hidden beast` number, since 6 + 2 + 7 + 7 + 1 + 3 + 4 + 68 + 4 + 553 + 11 = 666.

It is not a de Polignac number, because 627713468455311 - 2¹⁵ = 627713468422543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627713468455319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93603585 + ... + 100085253.

It is an arithmetic number, because the mean of its divisors is an integer number (22115159883180).

Almost surely, 2^{627713468455311} is an apocalyptic number.

627713468455311 is a deficient number, since it is larger than the sum of its proper divisors (433814205937329).

627713468455311 is a wasteful number, since it uses less digits than its factorization.

627713468455311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519216 (or 6519213 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 627713468455311 in words is "six hundred twenty-seven trillion, seven hundred thirteen billion, four hundred sixty-eight million, four hundred fifty-five thousand, three hundred eleven".