627496740864 has 1440 divisors, whose sum is σ = 2440213776000. Its totient is φ = 159188779008.

The previous prime is 627496740859. The next prime is 627496740901. The reversal of 627496740864 is 468047694726.

627496740864 is a `hidden beast` number, since 6 + 27 + 496 + 7 + 40 + 86 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2625509257 + ... + 2625509495.

It is an arithmetic number, because the mean of its divisors is an integer number (1694592900).

Almost surely, 2^627496740864 is an apocalyptic number.

627496740864 is a gapful number since it is divisible by the number (64) 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 627496740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220106888000).

627496740864 is an abundant number, since it is smaller than the sum of its proper divisors (1812717035136).

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

627496740864 is a wasteful number, since it uses less digits than its factorization.

627496740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 627496740864 in words is "six hundred twenty-seven billion, four hundred ninety-six million, seven hundred forty thousand, eight hundred sixty-four".