6304034536800 has 2304 divisors, whose sum is σ = 29060795990016. Its totient is φ = 1144627200000.

The previous prime is 6304034536799. The next prime is 6304034536837. The reversal of 6304034536800 is 86354304036.

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 383 ways as a sum of consecutive naturals, for example, 3500295900 + ... + 3500297700.

It is an arithmetic number, because the mean of its divisors is an integer number (12613192704).

Almost surely, 2^{6304034536800} is an apocalyptic number.

6304034536800 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 6304034536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530397995008).

6304034536800 is an abundant number, since it is smaller than the sum of its proper divisors (22756761453216).

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

6304034536800 is a wasteful number, since it uses less digits than its factorization.

6304034536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1920 counting only the distinct ones).

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

The spelling of 6304034536800 in words is "six trillion, three hundred four billion, thirty-four million, five hundred thirty-six thousand, eight hundred".