6844930375680 has 1440 divisors, whose sum is σ = 25968827888640. Its totient is φ = 1727146229760.

The previous prime is 6844930375639. The next prime is 6844930375687. The reversal of 6844930375680 is 865730394486.

6844930375680 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 9 + 30 + 37 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (6844930375687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40987606957 + ... + 40987607123.

It is an arithmetic number, because the mean of its divisors is an integer number (18033908256).

Almost surely, 2^{6844930375680} is an apocalyptic number.

6844930375680 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 6844930375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984413944320).

6844930375680 is an abundant number, since it is smaller than the sum of its proper divisors (19123897512960).

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

6844930375680 is an equidigital number, since it uses as much as digits as its factorization.

6844930375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6844930375680 in words is "six trillion, eight hundred forty-four billion, nine hundred thirty million, three hundred seventy-five thousand, six hundred eighty".