6844341680 has 80 divisors (see below), whose sum is σ = 17391520800. Its totient is φ = 2484295680.

The previous prime is 6844341667. The next prime is 6844341701. The reversal of 6844341680 is 861434486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493886 + ... + 507554.

It is an arithmetic number, because the mean of its divisors is an integer number (217394010).

Almost surely, 2^6844341680 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 6844341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695760400).

6844341680 is an abundant number, since it is smaller than the sum of its proper divisors (10547179120).

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

6844341680 is a wasteful number, since it uses less digits than its factorization.

6844341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 6844341680 is about 82730.5365629886. The cubic root of 6844341680 is about 1898.6455425227.

The spelling of 6844341680 in words is "six billion, eight hundred forty-four million, three hundred forty-one thousand, six hundred eighty".