6688164000 has 192 divisors, whose sum is σ = 25040800512. Its totient is φ = 1528704000.

The previous prime is 6688163959. The next prime is 6688164011. The reversal of 6688164000 is 4618866.

It is a self number, because there is not a number n which added to its sum of digits gives 6688164000.

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 31 ways as a sum of consecutive naturals, for example, 44190 + ... + 123810.

It is an arithmetic number, because the mean of its divisors is an integer number (130420836).

Almost surely, 2^6688164000 is an apocalyptic number.

6688164000 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 6688164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520400256).

6688164000 is an abundant number, since it is smaller than the sum of its proper divisors (18352636512).

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

6688164000 is a wasteful number, since it uses less digits than its factorization.

6688164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79656 (or 79638 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6688164000 is about 81781.1958826722. The cubic root of 6688164000 is about 1884.0928637382.

The spelling of 6688164000 in words is "six billion, six hundred eighty-eight million, one hundred sixty-four thousand".