6404342400 has 288 divisors, whose sum is σ = 23200226400. Its totient is φ = 1681827840.

The previous prime is 6404342383. The next prime is 6404342401. The reversal of 6404342400 is 42434046.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6404342401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1927941 + ... + 1931259.

Almost surely, 2^6404342400 is an apocalyptic number.

6404342400 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 6404342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600113200).

6404342400 is an abundant number, since it is smaller than the sum of its proper divisors (16795884000).

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

6404342400 is a wasteful number, since it uses less digits than its factorization.

6404342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3396 counting only the distinct ones).

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

The square root of 6404342400 is about 80027.1353979386. The cubic root of 6404342400 is about 1857.0553475813.

Adding to 6404342400 its reverse (42434046), we get a palindrome (6446776446).

The spelling of 6404342400 in words is "six billion, four hundred four million, three hundred forty-two thousand, four hundred".