6744400 has 60 divisors (see below), whose sum is σ = 17463292. Its totient is φ = 2488320.

The previous prime is 6744389. The next prime is 6744403. The reversal of 6744400 is 44476.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 6739216 = 72^2 + 2596^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6744403) 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 11 ways as a sum of consecutive naturals, for example, 4552 + ... + 5848.

Almost surely, 2^6744400 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 6744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731646).

6744400 is an abundant number, since it is smaller than the sum of its proper divisors (10718892).

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

6744400 is a wasteful number, since it uses less digits than its factorization.

6744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 6744400 is about 2596.9982672308. The cubic root of 6744400 is about 188.9358796328.

Adding to 6744400 its reverse (44476), we get a palindrome (6788876).

The spelling of 6744400 in words is "six million, seven hundred forty-four thousand, four hundred".