6643200 has 120 divisors (see below), whose sum is σ = 22072248. Its totient is φ = 1761280.

The previous prime is 6643181. The next prime is 6643201. The reversal of 6643200 is 23466.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38314 + ... + 38486.

Almost surely, 2^6643200 is an apocalyptic number.

6643200 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 6643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036124).

6643200 is an abundant number, since it is smaller than the sum of its proper divisors (15429048).

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

6643200 is a wasteful number, since it uses less digits than its factorization.

6643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6643200 is about 2577.4405909739. The cubic root of 6643200 is about 187.9861163733.

Adding to 6643200 its reverse (23466), we get a palindrome (6666666).

The spelling of 6643200 in words is "six million, six hundred forty-three thousand, two hundred".