6844477728 has 96 divisors (see below), whose sum is σ = 19892839680. Its totient is φ = 2043106560.

The previous prime is 6844477727. The next prime is 6844477741. The reversal of 6844477728 is 8277744486.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6844477727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22383 + ... + 119121.

It is an arithmetic number, because the mean of its divisors is an integer number (207217080).

Almost surely, 2^6844477728 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 6844477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946419840).

6844477728 is an abundant number, since it is smaller than the sum of its proper divisors (13048361952).

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

6844477728 is a wasteful number, since it uses less digits than its factorization.

6844477728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96830 (or 96822 counting only the distinct ones).

The product of its digits is 16859136, while the sum is 57.

The square root of 6844477728 is about 82731.3587945949. The cubic root of 6844477728 is about 1898.6581225111.

The spelling of 6844477728 in words is "six billion, eight hundred forty-four million, four hundred seventy-seven thousand, seven hundred twenty-eight".