6880288665600 has 1404 divisors, whose sum is σ = 28885626372720. Its totient is φ = 1560674304000.

The previous prime is 6880288665581. The next prime is 6880288665617. The reversal of 6880288665600 is 65668820886.

6880288665600 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 2 + 8 + 8 + 66 + 560 + 0 = 666.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6818917896 + ... + 6818918904.

Almost surely, 2^{6880288665600} is an apocalyptic number.

6880288665600 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 6880288665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442813186360).

6880288665600 is an abundant number, since it is smaller than the sum of its proper divisors (22005337707120).

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

6880288665600 is a wasteful number, since it uses less digits than its factorization.

6880288665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 6880288665600 in words is "six trillion, eight hundred eighty billion, two hundred eighty-eight million, six hundred sixty-five thousand, six hundred".