6880936216320 has 432 divisors, whose sum is σ = 24854341704192. Its totient is φ = 1754295459840.

The previous prime is 6880936216291. The next prime is 6880936216321. The reversal of 6880936216320 is 236126390886.

6880936216320 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 9 + 3 + 621 + 6 + 3 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880936216321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701344215 + ... + 701354025.

Almost surely, 2^{6880936216320} is an apocalyptic number.

6880936216320 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 6880936216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427170852096).

6880936216320 is an abundant number, since it is smaller than the sum of its proper divisors (17973405487872).

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

6880936216320 is a wasteful number, since it uses less digits than its factorization.

6880936216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6880936216320 in words is "six trillion, eight hundred eighty billion, nine hundred thirty-six million, two hundred sixteen thousand, three hundred twenty".