6004656504 has 192 divisors, whose sum is σ = 20314644480. Its totient is φ = 1556640000.

The previous prime is 6004656499. The next prime is 6004656521. The reversal of 6004656504 is 4056564006.

It is a happy number.

6004656504 is a `hidden beast` number, since 60 + 0 + 46 + 56 + 504 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5216329 + ... + 5217479.

It is an arithmetic number, because the mean of its divisors is an integer number (105805440).

Almost surely, 2^6004656504 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 6004656504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10157322240).

6004656504 is an abundant number, since it is smaller than the sum of its proper divisors (14309987976).

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

6004656504 is a wasteful number, since it uses less digits than its factorization.

6004656504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2115 counting only the distinct ones).

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

The square root of 6004656504 is about 77489.7186986764. The cubic root of 6004656504 is about 1817.5905506836.

The spelling of 6004656504 in words is "six billion, four million, six hundred fifty-six thousand, five hundred four".