6627790656 has 140 divisors (see below), whose sum is σ = 19803514368. Its totient is φ = 2191650048.

The previous prime is 6627790643. The next prime is 6627790657. The reversal of 6627790656 is 6560977266.

6627790656 is a `hidden beast` number, since 6 + 627 + 7 + 9 + 0 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627790657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 653335 + ... + 663401.

Almost surely, 2^6627790656 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 6627790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901757184).

6627790656 is an abundant number, since it is smaller than the sum of its proper divisors (13175723712).

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

6627790656 is a wasteful number, since it uses less digits than its factorization.

6627790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 6627790656 is about 81411.2440391375. The cubic root of 6627790656 is about 1878.4065508180.

The spelling of 6627790656 in words is "six billion, six hundred twenty-seven million, seven hundred ninety thousand, six hundred fifty-six".