6006000564 has 36 divisors (see below), whose sum is σ = 15240931524. Its totient is φ = 1994207232.

The previous prime is 6006000551. The next prime is 6006000569. The reversal of 6006000564 is 4650006006.

6006000564 is a `hidden beast` number, since 6 + 0 + 0 + 600 + 0 + 56 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3811827600 + 2194172964 = 61740^2 + 46842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006000569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315327 + ... + 333830.

It is an arithmetic number, because the mean of its divisors is an integer number (423359209).

Almost surely, 2^6006000564 is an apocalyptic number.

It is an amenable number.

6006000564 is an abundant number, since it is smaller than the sum of its proper divisors (9234930960).

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

6006000564 is a wasteful number, since it uses less digits than its factorization.

6006000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649424 (or 649419 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6006000564 is about 77498.3907187756. The cubic root of 6006000564 is about 1817.7261548047.

The spelling of 6006000564 in words is "six billion, six million, five hundred sixty-four", and thus it is an aban number.