6004200564 has 72 divisors (see below), whose sum is σ = 15986880000. Its totient is φ = 1894783104.

The previous prime is 6004200563. The next prime is 6004200569. The reversal of 6004200564 is 4650024006.

It is a happy number.

6004200564 is a `hidden beast` number, since 60 + 0 + 42 + 0 + 0 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004200563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967712 + ... + 1970760.

It is an arithmetic number, because the mean of its divisors is an integer number (222040000).

Almost surely, 2^6004200564 is an apocalyptic number.

It is an amenable number.

6004200564 is an abundant number, since it is smaller than the sum of its proper divisors (9982679436).

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

6004200564 is a wasteful number, since it uses less digits than its factorization.

6004200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6004200564 is about 77486.7767041577. The cubic root of 6004200564 is about 1817.5445456534.

The spelling of 6004200564 in words is "six billion, four million, two hundred thousand, five hundred sixty-four".