6688754392320 has 5184 divisors, whose sum is σ = 34154702346240. Its totient is φ = 1241572147200.

The previous prime is 6688754392319. The next prime is 6688754392357. The reversal of 6688754392320 is 232934578866.

It is a happy number.

6688754392320 is a `hidden beast` number, since 6 + 6 + 8 + 87 + 543 + 9 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 215766270705 + ... + 215766270735.

Almost surely, 2^{6688754392320} is an apocalyptic number.

6688754392320 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 6688754392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077351173120).

6688754392320 is an abundant number, since it is smaller than the sum of its proper divisors (27465947953920).

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

6688754392320 is a wasteful number, since it uses less digits than its factorization.

6688754392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6688754392320 in words is "six trillion, six hundred eighty-eight billion, seven hundred fifty-four million, three hundred ninety-two thousand, three hundred twenty".