6003321604224 has 256 divisors, whose sum is σ = 18329881374720. Its totient is φ = 1705329819648.

The previous prime is 6003321604199. The next prime is 6003321604243. The reversal of 6003321604224 is 4224061233006.

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, 377868409 + ... + 377884295.

It is an arithmetic number, because the mean of its divisors is an integer number (71601099120).

Almost surely, 2^{6003321604224} is an apocalyptic number.

6003321604224 is a gapful number since it is divisible by the number (64) 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 6003321604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164940687360).

6003321604224 is an abundant number, since it is smaller than the sum of its proper divisors (12326559770496).

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

6003321604224 is a wasteful number, since it uses less digits than its factorization.

6003321604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 6003321604224 in words is "six trillion, three billion, three hundred twenty-one million, six hundred four thousand, two hundred twenty-four".