6880671608832 has 2184 divisors, whose sum is σ = 26062424180352. Its totient is φ = 1805923123200.

The previous prime is 6880671608827. The next prime is 6880671608849. The reversal of 6880671608832 is 2388061760886.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6880671608832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 167821258732 + ... + 167821258772.

Almost surely, 2^{6880671608832} is an apocalyptic number.

6880671608832 is a gapful number since it is divisible by the number (62) 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 6880671608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031212090176).

6880671608832 is an abundant number, since it is smaller than the sum of its proper divisors (19181752571520).

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

6880671608832 is an equidigital number, since it uses as much as digits as its factorization.

6880671608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 6880671608832 in words is "six trillion, eight hundred eighty billion, six hundred seventy-one million, six hundred eight thousand, eight hundred thirty-two".