6744000 has 112 divisors (see below), whose sum is σ = 22347936. Its totient is φ = 1792000.

The previous prime is 6743987. The next prime is 6744007. The reversal of 6744000 is 4476.

6744000 = T₂₆₄ + T₂₆₅ + ... + T₃₈₈.

6744000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (6744007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23860 + ... + 24140.

Almost surely, 2^6744000 is an apocalyptic number.

6744000 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 6744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173968).

6744000 is an abundant number, since it is smaller than the sum of its proper divisors (15603936).

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

6744000 is a wasteful number, since it uses less digits than its factorization.

6744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

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

The square root of 6744000 is about 2596.9212541007. The cubic root of 6744000 is about 188.9321443934.

Adding to 6744000 its reverse (4476), we get a palindrome (6748476).

The spelling of 6744000 in words is "six million, seven hundred forty-four thousand".