6004728576 has 648 divisors, whose sum is σ = 23155265952. Its totient is φ = 1459814400.

The previous prime is 6004728563. The next prime is 6004728581. The reversal of 6004728576 is 6758274006.

6004728576 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 72 + 8 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33175206 + ... + 33175386.

Almost surely, 2^6004728576 is an apocalyptic number.

6004728576 is a gapful number since it is divisible by the number (66) 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 6004728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577632976).

6004728576 is an abundant number, since it is smaller than the sum of its proper divisors (17150537376).

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

6004728576 is a wasteful number, since it uses less digits than its factorization.

6004728576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6004728576 is about 77490.1837396196. The cubic root of 6004728576 is about 1817.5978226434.

The spelling of 6004728576 in words is "six billion, four million, seven hundred twenty-eight thousand, five hundred seventy-six".