6338304000 has 768 divisors, whose sum is σ = 26983756800. Its totient is φ = 1437696000.

The previous prime is 6338303963. The next prime is 6338304001. The reversal of 6338304000 is 4038336.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338304001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383935 + ... + 48384065.

It is an arithmetic number, because the mean of its divisors is an integer number (35135100).

Almost surely, 2^6338304000 is an apocalyptic number.

6338304000 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 6338304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491878400).

6338304000 is an abundant number, since it is smaller than the sum of its proper divisors (20645452800).

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

6338304000 is a wasteful number, since it uses less digits than its factorization.

6338304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6338304000 is about 79613.4661976226. The cubic root of 6338304000 is about 1850.6502705525.

The spelling of 6338304000 in words is "six billion, three hundred thirty-eight million, three hundred four thousand".