6382832400 has 840 divisors, whose sum is σ = 27225668160. Its totient is φ = 1407144960.

The previous prime is 6382832383. The next prime is 6382832411. The reversal of 6382832400 is 42382836.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108183571 + ... + 108183629.

Almost surely, 2^6382832400 is an apocalyptic number.

6382832400 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 6382832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612834080).

6382832400 is an abundant number, since it is smaller than the sum of its proper divisors (20842835760).

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

6382832400 is a wasteful number, since it uses less digits than its factorization.

6382832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6382832400 is about 79892.6304486215. The cubic root of 6382832400 is about 1854.9739439287.

The spelling of 6382832400 in words is "six billion, three hundred eighty-two million, eight hundred thirty-two thousand, four hundred".