6742368 has 72 divisors (see below), whose sum is σ = 19675656. Its totient is φ = 2188800.

The previous prime is 6742363. The next prime is 6742369. The reversal of 6742368 is 8632476.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11523 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (273273).

Almost surely, 2^6742368 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 6742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837828).

6742368 is an abundant number, since it is smaller than the sum of its proper divisors (12933288).

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

6742368 is a wasteful number, since it uses less digits than its factorization.

6742368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6742368 is about 2596.6070168587. The cubic root of 6742368 is about 188.9169030858.

The spelling of 6742368 in words is "six million, seven hundred forty-two thousand, three hundred sixty-eight".