6738640 has 40 divisors (see below), whose sum is σ = 15811488. Its totient is φ = 2670720.

The previous prime is 6738631. The next prime is 6738649. The reversal of 6738640 is 468376.

It is an interprime number because it is at equal distance from previous prime (6738631) and next prime (6738649).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 6738596 and 6738605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738649) 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 7 ways as a sum of consecutive naturals, for example, 10159 + ... + 10801.

Almost surely, 2^6738640 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 6738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905744).

6738640 is an abundant number, since it is smaller than the sum of its proper divisors (9072848).

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

6738640 is a wasteful number, since it uses less digits than its factorization.

6738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 6738640 is about 2595.8890577218. The cubic root of 6738640 is about 188.8820779295.

The spelling of 6738640 in words is "six million, seven hundred thirty-eight thousand, six hundred forty".