6400224800 has 72 divisors (see below), whose sum is σ = 15653029392. Its totient is φ = 2555424000.

The previous prime is 6400224793. The next prime is 6400224823. The reversal of 6400224800 is 84220046.

It is a self number, because there is not a number n which added to its sum of digits gives 6400224800.

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 11 ways as a sum of consecutive naturals, for example, 449795 + ... + 463805.

It is an arithmetic number, because the mean of its divisors is an integer number (217403186).

Almost surely, 2^6400224800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826514696).

6400224800 is an abundant number, since it is smaller than the sum of its proper divisors (9252804592).

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

6400224800 is a wasteful number, since it uses less digits than its factorization.

6400224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14589 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6400224800 is about 80001.4049876626. The cubic root of 6400224800 is about 1856.6572712983.

Adding to 6400224800 its reverse (84220046), we get a palindrome (6484444846).

The spelling of 6400224800 in words is "six billion, four hundred million, two hundred twenty-four thousand, eight hundred".