6437664 has 48 divisors (see below), whose sum is σ = 18779040. Its totient is φ = 2145600.

The previous prime is 6437663. The next prime is 6437671. The reversal of 6437664 is 4667346.

6437664 is a `hidden beast` number, since 643 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (6437663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (391230).

Almost surely, 2^6437664 is an apocalyptic number.

It is an amenable number.

6437664 is an abundant number, since it is smaller than the sum of its proper divisors (12341376).

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

6437664 is a wasteful number, since it uses less digits than its factorization.

6437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7456 counting only the distinct ones).

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

The square root of 6437664 is about 2537.2552098675. The cubic root of 6437664 is about 186.0270512165.

The spelling of 6437664 in words is "six million, four hundred thirty-seven thousand, six hundred sixty-four".