6003468729600 has 864 divisors, whose sum is σ = 21834362511360. Its totient is φ = 1446875136000.

The previous prime is 6003468729527. The next prime is 6003468729611. The reversal of 6003468729600 is 69278643006.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802921062 + ... + 802928538.

Almost surely, 2^{6003468729600} is an apocalyptic number.

6003468729600 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 6003468729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917181255680).

6003468729600 is an abundant number, since it is smaller than the sum of its proper divisors (15830893781760).

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

6003468729600 is a wasteful number, since it uses less digits than its factorization.

6003468729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 6003468729600 in words is "six trillion, three billion, four hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred".