6744 has 16 divisors (see below), whose sum is σ = 16920. Its totient is φ = 2240.

The previous prime is 6737. The next prime is 6761. The reversal of 6744 is 4476.

6744 = T₃₇ + T₃₈ + ... + T₄₄.

It is a self number, because there is not a number n which added to its sum of digits gives 6744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 164.

2⁶⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

6744 is an abundant number, since it is smaller than the sum of its proper divisors (10176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460).

6744 is a wasteful number, since it uses less digits than its factorization.

6744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 6744 is about 82.1218606706. The cubic root of 6744 is about 18.8932144393.

It can be divided in two parts, 67 and 44, that added together give a palindrome (111).

The spelling of 6744 in words is "six thousand, seven hundred forty-four".