6742736 has 80 divisors (see below), whose sum is σ = 17582208. Its totient is φ = 2419200.

The previous prime is 6742733. The next prime is 6742753. The reversal of 6742736 is 6372476.

It is a junction number, because it is equal to n+sod(n) for n = 6742696 and 6742705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742733) 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 15 ways as a sum of consecutive naturals, for example, 15806 + ... + 16226.

Almost surely, 2^6742736 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 6742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791104).

6742736 is an abundant number, since it is smaller than the sum of its proper divisors (10839472).

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

6742736 is a wasteful number, since it uses less digits than its factorization.

6742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 6742736 is about 2596.6778775967. The cubic root of 6742736 is about 188.9203400660.

The spelling of 6742736 in words is "six million, seven hundred forty-two thousand, seven hundred thirty-six".