6072656304 has 160 divisors (see below), whose sum is σ = 18511815168. Its totient is φ = 1691136000.

The previous prime is 6072656299. The next prime is 6072656311. The reversal of 6072656304 is 4036562706.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1652389 + ... + 1656059.

Almost surely, 2^6072656304 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 6072656304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255907584).

6072656304 is an abundant number, since it is smaller than the sum of its proper divisors (12439158864).

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

6072656304 is a wasteful number, since it uses less digits than its factorization.

6072656304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 6072656304 is about 77927.2500733858. The cubic root of 6072656304 is about 1824.4259210420.

The spelling of 6072656304 in words is "six billion, seventy-two million, six hundred fifty-six thousand, three hundred four".