6304854816 has 288 divisors, whose sum is σ = 20462682240. Its totient is φ = 1825431552.

The previous prime is 6304854799. The next prime is 6304854841. The reversal of 6304854816 is 6184584036.

6304854816 is a `hidden beast` number, since 63 + 0 + 48 + 548 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 18708600 + ... + 18708936.

It is an arithmetic number, because the mean of its divisors is an integer number (71050980).

Almost surely, 2^6304854816 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 6304854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231341120).

6304854816 is an abundant number, since it is smaller than the sum of its proper divisors (14157827424).

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

6304854816 is a wasteful number, since it uses less digits than its factorization.

6304854816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6304854816 is about 79403.1159086342. The cubic root of 6304854816 is about 1847.3890429913.

The spelling of 6304854816 in words is "six billion, three hundred four million, eight hundred fifty-four thousand, eight hundred sixteen".