627217668 has 240 divisors, whose sum is σ = 2112811008. Its totient is φ = 157464000.

The previous prime is 627217667. The next prime is 627217693. The reversal of 627217668 is 866712726.

627217668 is a `hidden beast` number, since 627 + 2 + 17 + 6 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (627217663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772983 + ... + 773793.

Almost surely, 2^627217668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627217668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056405504).

627217668 is an abundant number, since it is smaller than the sum of its proper divisors (1485593340).

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

627217668 is a wasteful number, since it uses less digits than its factorization.

627217668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 627217668 is about 25044.3140852370. The cubic root of 627217668 is about 855.9980220206.

The spelling of 627217668 in words is "six hundred twenty-seven million, two hundred seventeen thousand, six hundred sixty-eight".