6330234400 has 144 divisors (see below), whose sum is σ = 17798235840. Its totient is φ = 2153548800.

The previous prime is 6330234397. The next prime is 6330234419. The reversal of 6330234400 is 44320336.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 729286 + ... + 737914.

It is an arithmetic number, because the mean of its divisors is an integer number (123598860).

Almost surely, 2^6330234400 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 6330234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899117920).

6330234400 is an abundant number, since it is smaller than the sum of its proper divisors (11468001440).

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

6330234400 is a wasteful number, since it uses less digits than its factorization.

6330234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 6330234400 is about 79562.7701880723. The cubic root of 6330234400 is about 1849.8645530249.

Adding to 6330234400 its reverse (44320336), we get a palindrome (6374554736).

The spelling of 6330234400 in words is "six billion, three hundred thirty million, two hundred thirty-four thousand, four hundred".