6680869094400 has 264 divisors, whose sum is σ = 22092173808000. Its totient is φ = 1780632944640.

The previous prime is 6680869094387. The next prime is 6680869094453. The reversal of 6680869094400 is 44909680866.

It is a super-2 number, since 2×6680869094400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153501442 + ... + 153544958.

Almost surely, 2^{6680869094400} is an apocalyptic number.

6680869094400 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 6680869094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046086904000).

6680869094400 is an abundant number, since it is smaller than the sum of its proper divisors (15411304713600).

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

6680869094400 is a wasteful number, since it uses less digits than its factorization.

6680869094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45549 (or 45526 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 6680869094400 in words is "six trillion, six hundred eighty billion, eight hundred sixty-nine million, ninety-four thousand, four hundred".