6740640 has 144 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 1728000.

The previous prime is 6740597. The next prime is 6740647. The reversal of 6740640 is 460476.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6740647) 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 23 ways as a sum of consecutive naturals, for example, 44565 + ... + 44715.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^6740640 is an apocalyptic number.

6740640 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 6740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

6740640 is an abundant number, since it is smaller than the sum of its proper divisors (17161056).

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

6740640 is a wasteful number, since it uses less digits than its factorization.

6740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6740640 is about 2596.2742536181. The cubic root of 6740640 is about 188.9007625498.

The spelling of 6740640 in words is "six million, seven hundred forty thousand, six hundred forty".