6839874720 has 864 divisors, whose sum is σ = 29040560640. Its totient is φ = 1459261440.

The previous prime is 6839874719. The next prime is 6839874737. The reversal of 6839874720 is 274789386.

6839874720 is a `hidden beast` number, since 6 + 83 + 98 + 7 + 472 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115930051 + ... + 115930109.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^6839874720 is an apocalyptic number.

6839874720 is a gapful number since it is divisible by the number (60) 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 6839874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520280320).

6839874720 is an abundant number, since it is smaller than the sum of its proper divisors (22200685920).

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

6839874720 is a wasteful number, since it uses less digits than its factorization.

6839874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6839874720 is about 82703.5351118681. The cubic root of 6839874720 is about 1898.2324022560.

The spelling of 6839874720 in words is "six billion, eight hundred thirty-nine million, eight hundred seventy-four thousand, seven hundred twenty".