6890669568000 has 1664 divisors, whose sum is σ = 27324389664000. Its totient is φ = 1707186585600.

The previous prime is 6890669567917. The next prime is 6890669568001. The reversal of 6890669568000 is 8659660986.

6890669568000 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 6 + 69 + 568 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6890669568000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890669568001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 25615871866 + ... + 25615872134.

It is an arithmetic number, because the mean of its divisors is an integer number (16420907250).

Almost surely, 2^{6890669568000} is an apocalyptic number.

6890669568000 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 6890669568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662194832000).

6890669568000 is an abundant number, since it is smaller than the sum of its proper divisors (20433720096000).

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

6890669568000 is a wasteful number, since it uses less digits than its factorization.

6890669568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 6890669568000 in words is "six trillion, eight hundred ninety billion, six hundred sixty-nine million, five hundred sixty-eight thousand".