6879968000000 has 336 divisors, whose sum is σ = 18208440366480. Its totient is φ = 2589900800000.

The previous prime is 6879967999981. The next prime is 6879968000011. The reversal of 6879968000000 is 8699786.

It is a junction number, because it is equal to n+sod(n) for n = 6879967999897 and 6879967999906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 543993677 + ... + 544006323.

It is an arithmetic number, because the mean of its divisors is an integer number (54191786805).

Almost surely, 2^{6879968000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6879968000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104220183240).

6879968000000 is an abundant number, since it is smaller than the sum of its proper divisors (11328472366480).

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

6879968000000 is an frugal number, since it uses more digits than its factorization.

6879968000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 6879968000000 in words is "six trillion, eight hundred seventy-nine billion, nine hundred sixty-eight million", and thus it is an aban number.