6424400304 has 200 divisors, whose sum is σ = 21346490880. Its totient is φ = 1827245952.

The previous prime is 6424400303. The next prime is 6424400309. The reversal of 6424400304 is 4030044246.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6424400303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2166727 + ... + 2169689.

Almost surely, 2^6424400304 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 6424400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673245440).

6424400304 is an abundant number, since it is smaller than the sum of its proper divisors (14922090576).

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

6424400304 is a wasteful number, since it uses less digits than its factorization.

6424400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 6424400304 is about 80152.3568212439. The cubic root of 6424400304 is about 1858.9920449274.

The spelling of 6424400304 in words is "six billion, four hundred twenty-four million, four hundred thousand, three hundred four".