6364225200 has 120 divisors (see below), whose sum is σ = 20406535168. Its totient is φ = 1695479040.

The previous prime is 6364225187. The next prime is 6364225243. The reversal of 6364225200 is 25224636.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705737 + ... + 1709463.

Almost surely, 2^6364225200 is an apocalyptic number.

6364225200 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 6364225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203267584).

6364225200 is an abundant number, since it is smaller than the sum of its proper divisors (14042309968).

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

6364225200 is a wasteful number, since it uses less digits than its factorization.

6364225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6364225200 is about 79776.0941636027. The cubic root of 6364225200 is about 1853.1696526886.

Adding to 6364225200 its reverse (25224636), we get a palindrome (6389449836).

The spelling of 6364225200 in words is "six billion, three hundred sixty-four million, two hundred twenty-five thousand, two hundred".