6630400 has 132 divisors (see below), whose sum is σ = 19290928. Its totient is φ = 2211840.

The previous prime is 6630367. The next prime is 6630409. The reversal of 6630400 is 40366.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6630409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179182 + ... + 179218.

Almost surely, 2^6630400 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 6630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645464).

6630400 is an abundant number, since it is smaller than the sum of its proper divisors (12660528).

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

6630400 is a wasteful number, since it uses less digits than its factorization.

6630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 6630400 is about 2574.9563103090. The cubic root of 6630400 is about 187.8653026405.

Adding to 6630400 its reverse (40366), we get a palindrome (6670766).

The spelling of 6630400 in words is "six million, six hundred thirty thousand, four hundred".