6642400 has 108 divisors (see below), whose sum is σ = 17858232. Its totient is φ = 2407680.

The previous prime is 6642379. The next prime is 6642403. The reversal of 6642400 is 42466.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288789 + ... + 288811.

It is an arithmetic number, because the mean of its divisors is an integer number (165354).

Almost surely, 2^6642400 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 6642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929116).

6642400 is an abundant number, since it is smaller than the sum of its proper divisors (11215832).

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

6642400 is a wasteful number, since it uses less digits than its factorization.

6642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6642400 is about 2577.2853935876. The cubic root of 6642400 is about 187.9785700637.

Adding to 6642400 its reverse (42466), we get a palindrome (6684866).

The spelling of 6642400 in words is "six million, six hundred forty-two thousand, four hundred".