6844040716800 has 1920 divisors, whose sum is σ = 28503632222208. Its totient is φ = 1412038656000.

The previous prime is 6844040716781. The next prime is 6844040716889. The reversal of 6844040716800 is 86170404486.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6844040716800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11986060515 + ... + 11986061085.

Almost surely, 2^{6844040716800} is an apocalyptic number.

6844040716800 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 6844040716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251816111104).

6844040716800 is an abundant number, since it is smaller than the sum of its proper divisors (21659591505408).

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

6844040716800 is a wasteful number, since it uses less digits than its factorization.

6844040716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 6844040716800 in words is "six trillion, eight hundred forty-four billion, forty million, seven hundred sixteen thousand, eight hundred".