627665465376576 has 672 divisors, whose sum is σ = 2187762815646720. Its totient is φ = 169568579174400.

The previous prime is 627665465376571. The next prime is 627665465376641. The reversal of 627665465376576 is 675673564566726.

627665465376576 is a `hidden beast` number, since 6 + 2 + 7 + 6 + 6 + 5 + 4 + 6 + 5 + 37 + 6 + 576 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 627665465376495 and 627665465376504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627665465376571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19620047941 + ... + 19620079931.

Almost surely, 2^{627665465376576} is an apocalyptic number.

627665465376576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627665465376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093881407823360).

627665465376576 is an abundant number, since it is smaller than the sum of its proper divisors (1560097350270144).

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

627665465376576 is a wasteful number, since it uses less digits than its factorization.

627665465376576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41643 (or 41630 counting only the distinct ones).

The product of its digits is 48009024000, while the sum is 81.

The spelling of 627665465376576 in words is "six hundred twenty-seven trillion, six hundred sixty-five billion, four hundred sixty-five million, three hundred seventy-six thousand, five hundred seventy-six".