6688876633920 has 1008 divisors, whose sum is σ = 25584525757440. Its totient is φ = 1602708996096.

The previous prime is 6688876633903. The next prime is 6688876633921. The reversal of 6688876633920 is 293366788866.

6688876633920 is a `hidden beast` number, since 66 + 88 + 87 + 66 + 339 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688876633921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2806913049 + ... + 2806915431.

Almost surely, 2^{6688876633920} is an apocalyptic number.

6688876633920 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 6688876633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792262878720).

6688876633920 is an abundant number, since it is smaller than the sum of its proper divisors (18895649123520).

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

6688876633920 is a wasteful number, since it uses less digits than its factorization.

6688876633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 6688876633920 in words is "six trillion, six hundred eighty-eight billion, eight hundred seventy-six million, six hundred thirty-three thousand, nine hundred twenty".