6749200 has 60 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 2634880.

The previous prime is 6749191. The next prime is 6749203. The reversal of 6749200 is 29476.

It is not an unprimeable number, because it can be changed into a prime (6749203) 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, 18621 + ... + 18979.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^6749200 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 6749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

6749200 is an abundant number, since it is smaller than the sum of its proper divisors (9856880).

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

6749200 is a wasteful number, since it uses less digits than its factorization.

6749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6749200 is about 2597.9222467195. The cubic root of 6749200 is about 188.9806909904.

The spelling of 6749200 in words is "six million, seven hundred forty-nine thousand, two hundred".