6817849344 has 336 divisors, whose sum is σ = 21536436480. Its totient is φ = 2070282240.

The previous prime is 6817849333. The next prime is 6817849349. The reversal of 6817849344 is 4439487186.

6817849344 is a `hidden beast` number, since 6 + 81 + 78 + 493 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6817849349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43425714 + ... + 43425870.

Almost surely, 2^6817849344 is an apocalyptic number.

6817849344 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 6817849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768218240).

6817849344 is an abundant number, since it is smaller than the sum of its proper divisors (14718587136).

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

6817849344 is a wasteful number, since it uses less digits than its factorization.

6817849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6817849344 is about 82570.2691287851. The cubic root of 6817849344 is about 1896.1926845781.

The spelling of 6817849344 in words is "six billion, eight hundred seventeen million, eight hundred forty-nine thousand, three hundred forty-four".