6669089920800 has 576 divisors, whose sum is σ = 24370108963200. Its totient is φ = 1760013619200.

The previous prime is 6669089920781. The next prime is 6669089920849. The reversal of 6669089920800 is 80299809666.

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 95 ways as a sum of consecutive naturals, for example, 3830607930 + ... + 3830609670.

It is an arithmetic number, because the mean of its divisors is an integer number (42309216950).

Almost surely, 2^{6669089920800} is an apocalyptic number.

6669089920800 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 6669089920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185054481600).

6669089920800 is an abundant number, since it is smaller than the sum of its proper divisors (17701019042400).

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

6669089920800 is a wasteful number, since it uses less digits than its factorization.

6669089920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 6669089920800 in words is "six trillion, six hundred sixty-nine billion, eighty-nine million, nine hundred twenty thousand, eight hundred".