6328464000 has 256 divisors, whose sum is σ = 21660687360. Its totient is φ = 1632768000.

The previous prime is 6328463987. The next prime is 6328464019. The reversal of 6328464000 is 4648236.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485874 + ... + 1490126.

It is an arithmetic number, because the mean of its divisors is an integer number (84612060).

Almost surely, 2^6328464000 is an apocalyptic number.

6328464000 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 6328464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830343680).

6328464000 is an abundant number, since it is smaller than the sum of its proper divisors (15332223360).

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

6328464000 is a wasteful number, since it uses less digits than its factorization.

6328464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 6328464000 is about 79551.6436033851. The cubic root of 6328464000 is about 1849.6920841316.

The spelling of 6328464000 in words is "six billion, three hundred twenty-eight million, four hundred sixty-four thousand".