6840155904 has 288 divisors, whose sum is σ = 20090198016. Its totient is φ = 2057502720.

The previous prime is 6840155897. The next prime is 6840155929. The reversal of 6840155904 is 4095510486.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43567794 + ... + 43567950.

It is an arithmetic number, because the mean of its divisors is an integer number (69757632).

Almost surely, 2^6840155904 is an apocalyptic number.

6840155904 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 6840155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045099008).

6840155904 is an abundant number, since it is smaller than the sum of its proper divisors (13250042112).

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

6840155904 is a wasteful number, since it uses less digits than its factorization.

6840155904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 6840155904 is about 82705.2350459147. The cubic root of 6840155904 is about 1898.2584137103.

The spelling of 6840155904 in words is "six billion, eight hundred forty million, one hundred fifty-five thousand, nine hundred four".