6749760 has 112 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 1757184.

The previous prime is 6749759. The next prime is 6749761. The reversal of 6749760 is 679476.

6749760 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6749759) and next prime (6749761).

It is not an unprimeable number, because it can be changed into a prime (6749761) 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, 75796 + ... + 75884.

Almost surely, 2^6749760 is an apocalyptic number.

6749760 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 6749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

6749760 is an abundant number, since it is smaller than the sum of its proper divisors (15195840).

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

6749760 is a wasteful number, since it uses less digits than its factorization.

6749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6749760 is about 2598.0300229212. The cubic root of 6749760 is about 188.9859175980.

The spelling of 6749760 in words is "six million, seven hundred forty-nine thousand, seven hundred sixty".