6006504120 has 128 divisors (see below), whose sum is σ = 18468172800. Its totient is φ = 1562098176.

The previous prime is 6006504103. The next prime is 6006504139. The reversal of 6006504120 is 214056006.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1729746 + ... + 1733214.

It is an arithmetic number, because the mean of its divisors is an integer number (144282600).

Almost surely, 2^6006504120 is an apocalyptic number.

6006504120 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 6006504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234086400).

6006504120 is an abundant number, since it is smaller than the sum of its proper divisors (12461668680).

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

6006504120 is a wasteful number, since it uses less digits than its factorization.

6006504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6006504120 is about 77501.6394665300. The cubic root of 6006504120 is about 1817.7769540747.

The spelling of 6006504120 in words is "six billion, six million, five hundred four thousand, one hundred twenty".