6004656000 has 1152 divisors, whose sum is σ = 26883005760. Its totient is φ = 1277337600.

The previous prime is 6004655981. The next prime is 6004656017. The reversal of 6004656000 is 6564006.

6004656000 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 656 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162287982 + ... + 162288018.

Almost surely, 2^6004656000 is an apocalyptic number.

6004656000 is a gapful number since it is divisible by the number (60) 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 6004656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441502880).

6004656000 is an abundant number, since it is smaller than the sum of its proper divisors (20878349760).

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

6004656000 is a wasteful number, since it uses less digits than its factorization.

6004656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

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

The square root of 6004656000 is about 77489.7154466320. The cubic root of 6004656000 is about 1817.5904998305.

The spelling of 6004656000 in words is "six billion, four million, six hundred fifty-six thousand".