6404563200 has 216 divisors, whose sum is σ = 24156384448. Its totient is φ = 1463869440.

The previous prime is 6404563199. The next prime is 6404563201. The reversal of 6404563200 is 23654046.

It is an interprime number because it is at equal distance from previous prime (6404563199) and next prime (6404563201).

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

It is not an unprimeable number, because it can be changed into a prime (6404563201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110574 + ... + 158226.

Almost surely, 2^6404563200 is an apocalyptic number.

6404563200 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 6404563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078192224).

6404563200 is an abundant number, since it is smaller than the sum of its proper divisors (17751821248).

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

6404563200 is a wasteful number, since it uses less digits than its factorization.

6404563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47689 (or 47670 counting only the distinct ones).

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

The square root of 6404563200 is about 80028.5149181215. The cubic root of 6404563200 is about 1857.0766889922.

The spelling of 6404563200 in words is "six billion, four hundred four million, five hundred sixty-three thousand, two hundred".