6857744320 has 112 divisors (see below), whose sum is σ = 18686605248. Its totient is φ = 2348236800.

The previous prime is 6857744303. The next prime is 6857744351. The reversal of 6857744320 is 234477586.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2446920 + ... + 2449720.

Almost surely, 2^6857744320 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 6857744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343302624).

6857744320 is an abundant number, since it is smaller than the sum of its proper divisors (11828860928).

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

6857744320 is a wasteful number, since it uses less digits than its factorization.

6857744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The square root of 6857744320 is about 82811.4987184751. The cubic root of 6857744320 is about 1899.8840483256.

The spelling of 6857744320 in words is "six billion, eight hundred fifty-seven million, seven hundred forty-four thousand, three hundred twenty".