6364800000 has 792 divisors, whose sum is σ = 26193526632. Its totient is φ = 1474560000.

The previous prime is 6364799981. The next prime is 6364800047. The reversal of 6364800000 is 84636.

It can be written as a sum of positive squares in 12 ways, for example, as 6364210176 + 589824 = 79776^2 + 768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 374399992 + ... + 374400008.

Almost surely, 2^6364800000 is an apocalyptic number.

6364800000 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 6364800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096763316).

6364800000 is an abundant number, since it is smaller than the sum of its proper divisors (19828726632).

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

6364800000 is a wasteful number, since it uses less digits than its factorization.

6364800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6364800000 is about 79779.6966652544. The cubic root of 6364800000 is about 1853.2254421375.

Adding to 6364800000 its reverse (84636), we get a palindrome (6364884636).

The spelling of 6364800000 in words is "six billion, three hundred sixty-four million, eight hundred thousand".