6743968 has 144 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 2365440.

The previous prime is 6743941. The next prime is 6743987. The reversal of 6743968 is 8693476.

It is a happy number.

It is a super-2 number, since 2×6743968² = 90962208770048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293205 + ... + 293227.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

Almost surely, 2^6743968 is an apocalyptic number.

6743968 is a gapful number since it is divisible by the number (68) 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 6743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

6743968 is an abundant number, since it is smaller than the sum of its proper divisors (11871776).

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

6743968 is a wasteful number, since it uses less digits than its factorization.

6743968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 6743968 is about 2596.9150929516. The cubic root of 6743968 is about 188.9318455678.

Adding to 6743968 its product of digits (217728), we get a palindrome (6961696).

The spelling of 6743968 in words is "six million, seven hundred forty-three thousand, nine hundred sixty-eight".