6688564680 has 576 divisors, whose sum is σ = 25893613440. Its totient is φ = 1375266816.

The previous prime is 6688564651. The next prime is 6688564693. The reversal of 6688564680 is 864658866.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 6688564680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48821572 + ... + 48821708.

It is an arithmetic number, because the mean of its divisors is an integer number (44954190).

Almost surely, 2^6688564680 is an apocalyptic number.

6688564680 is a gapful number since it is divisible by the number (60) 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 6688564680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12946806720).

6688564680 is an abundant number, since it is smaller than the sum of its proper divisors (19205048760).

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

6688564680 is a wasteful number, since it uses less digits than its factorization.

6688564680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The square root of 6688564680 is about 81783.6455533745. The cubic root of 6688564680 is about 1884.1304875790.

The spelling of 6688564680 in words is "six billion, six hundred eighty-eight million, five hundred sixty-four thousand, six hundred eighty".