6006405564 has 72 divisors (see below), whose sum is σ = 15968010240. Its totient is φ = 1899973152.

The previous prime is 6006405539. The next prime is 6006405599. The reversal of 6006405564 is 4655046006.

It is a happy number.

6006405564 is a `hidden beast` number, since 6 + 0 + 0 + 640 + 5 + 5 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76597 + ... + 133715.

It is an arithmetic number, because the mean of its divisors is an integer number (221777920).

Almost surely, 2^6006405564 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 6006405564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984005120).

6006405564 is an abundant number, since it is smaller than the sum of its proper divisors (9961604676).

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

6006405564 is a wasteful number, since it uses less digits than its factorization.

6006405564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57279 (or 57274 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6006405564 is about 77501.0036322111. The cubic root of 6006405564 is about 1817.7670118631.

The spelling of 6006405564 in words is "six billion, six million, four hundred five thousand, five hundred sixty-four".