6004334850360 has 1024 divisors, whose sum is σ = 23333098291200. Its totient is φ = 1199917670400.

The previous prime is 6004334850359. The next prime is 6004334850383. The reversal of 6004334850360 is 630584334006.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21216730779 + ... + 21216731061.

It is an arithmetic number, because the mean of its divisors is an integer number (22786228800).

Almost surely, 2^{6004334850360} is an apocalyptic number.

6004334850360 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 6004334850360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11666549145600).

6004334850360 is an abundant number, since it is smaller than the sum of its proper divisors (17328763440840).

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

6004334850360 is a wasteful number, since it uses less digits than its factorization.

6004334850360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 6004334850360 in words is "six trillion, four billion, three hundred thirty-four million, eight hundred fifty thousand, three hundred sixty".