6369804000 has 864 divisors, whose sum is σ = 27615422016. Its totient is φ = 1383782400.

The previous prime is 6369803989. The next prime is 6369804031. The reversal of 6369804000 is 4089636.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40571922 + ... + 40572078.

It is an arithmetic number, because the mean of its divisors is an integer number (31962294).

Almost surely, 2^6369804000 is an apocalyptic number.

6369804000 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 6369804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807711008).

6369804000 is an abundant number, since it is smaller than the sum of its proper divisors (21245618016).

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

6369804000 is a wasteful number, since it uses less digits than its factorization.

6369804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6369804000 is about 79811.0518662672. The cubic root of 6369804000 is about 1853.7109829710.

The spelling of 6369804000 in words is "six billion, three hundred sixty-nine million, eight hundred four thousand".