6735664 has 60 divisors (see below), whose sum is σ = 14704416. Its totient is φ = 2985216.

The previous prime is 6735661. The next prime is 6735667. The reversal of 6735664 is 4665376.

It is an interprime number because it is at equal distance from previous prime (6735661) and next prime (6735667).

It is not an unprimeable number, because it can be changed into a prime (6735661) 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 11 ways as a sum of consecutive naturals, for example, 127062 + ... + 127114.

Almost surely, 2^6735664 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 6735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352208).

6735664 is an abundant number, since it is smaller than the sum of its proper divisors (7968752).

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

6735664 is a wasteful number, since it uses less digits than its factorization.

6735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 6735664 is about 2595.3157804013. The cubic root of 6735664 is about 188.8542683698.

The spelling of 6735664 in words is "six million, seven hundred thirty-five thousand, six hundred sixty-four".