6880004812800 has 936 divisors, whose sum is σ = 28429141418496. Its totient is φ = 1557719285760.

The previous prime is 6880004812787. The next prime is 6880004812819. The reversal of 6880004812800 is 82184000886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 690273417 + ... + 690283383.

It is an arithmetic number, because the mean of its divisors is an integer number (30373014336).

Almost surely, 2^{6880004812800} is an apocalyptic number.

6880004812800 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 6880004812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214570709248).

6880004812800 is an abundant number, since it is smaller than the sum of its proper divisors (21549136605696).

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

6880004812800 is a wasteful number, since it uses less digits than its factorization.

6880004812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 6880004812800 in words is "six trillion, eight hundred eighty billion, four million, eight hundred twelve thousand, eight hundred".