6688364604768 has 1008 divisors, whose sum is σ = 25863308190720. Its totient is φ = 1681099660800.

The previous prime is 6688364604751. The next prime is 6688364604773. The reversal of 6688364604768 is 8674064638866.

6688364604768 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 3 + 6 + 4 + 604 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6688364604696 and 6688364604705.

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 389778973 + ... + 389796131.

It is an arithmetic number, because the mean of its divisors is an integer number (25658043840).

Almost surely, 2^{6688364604768} 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 6688364604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931654095360).

6688364604768 is an abundant number, since it is smaller than the sum of its proper divisors (19174943585952).

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

6688364604768 is a wasteful number, since it uses less digits than its factorization.

6688364604768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 6688364604768 in words is "six trillion, six hundred eighty-eight billion, three hundred sixty-four million, six hundred four thousand, seven hundred sixty-eight".