6743664 has 30 divisors (see below), whose sum is σ = 18873296. Its totient is φ = 2247840.

The previous prime is 6743663. The next prime is 6743683. The reversal of 6743664 is 4663476.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 6 + 7² + 4³ + 3¹⁴ + 6⁷ + 6⁸ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6743663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23272 + ... + 23559.

Almost surely, 2^6743664 is an apocalyptic number.

It is an amenable number.

6743664 is an abundant number, since it is smaller than the sum of its proper divisors (12129632).

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

6743664 is a wasteful number, since it uses less digits than its factorization.

6743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46845 (or 46836 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 6743664 is about 2596.8565613064. The cubic root of 6743664 is about 188.9290066781.

Subtracting from 6743664 its sum of digits (36), we obtain a triangular number (6743628 = T₃₆₇₂).

The spelling of 6743664 in words is "six million, seven hundred forty-three thousand, six hundred sixty-four".