6844121984 has 64 divisors (see below), whose sum is σ = 15737090400. Its totient is φ = 2904115200.

The previous prime is 6844121971. The next prime is 6844122001. The reversal of 6844121984 is 4891214486.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52682 + ... + 128310.

Almost surely, 2^6844121984 is an apocalyptic number.

6844121984 is a gapful number since it is divisible by the number (64) 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 6844121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868545200).

6844121984 is an abundant number, since it is smaller than the sum of its proper divisors (8892968416).

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

6844121984 is a wasteful number, since it uses less digits than its factorization.

6844121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75751 (or 75739 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 6844121984 is about 82729.2087717512. The cubic root of 6844121984 is about 1898.6252274793.

The spelling of 6844121984 in words is "six billion, eight hundred forty-four million, one hundred twenty-one thousand, nine hundred eighty-four".