6303268800 has 336 divisors, whose sum is σ = 23419795680. Its totient is φ = 1648558080.

The previous prime is 6303268771. The next prime is 6303268801. The reversal of 6303268800 is 88623036.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303268801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288224 + ... + 2290976.

Almost surely, 2^6303268800 is an apocalyptic number.

6303268800 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 6303268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709897840).

6303268800 is an abundant number, since it is smaller than the sum of its proper divisors (17116526880).

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

6303268800 is a wasteful number, since it uses less digits than its factorization.

6303268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6303268800 is about 79393.1281661077. The cubic root of 6303268800 is about 1847.2341235214.

The spelling of 6303268800 in words is "six billion, three hundred three million, two hundred sixty-eight thousand, eight hundred".