6647590656 has 432 divisors, whose sum is σ = 23130394560. Its totient is φ = 1796014080.

The previous prime is 6647590613. The next prime is 6647590661. The reversal of 6647590656 is 6560957466.

6647590656 is a `hidden beast` number, since 6 + 6 + 47 + 590 + 6 + 5 + 6 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28530316 + ... + 28530548.

It is an arithmetic number, because the mean of its divisors is an integer number (53542580).

Almost surely, 2^6647590656 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 6647590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565197280).

6647590656 is an abundant number, since it is smaller than the sum of its proper divisors (16482803904).

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

6647590656 is a wasteful number, since it uses less digits than its factorization.

6647590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6647590656 is about 81532.7581773118. The cubic root of 6647590656 is about 1880.2752215149.

The spelling of 6647590656 in words is "six billion, six hundred forty-seven million, five hundred ninety thousand, six hundred fifty-six".