6443712 has 140 divisors (see below), whose sum is σ = 21022056. Its totient is φ = 1935360.

The previous prime is 6443677. The next prime is 6443719. The reversal of 6443712 is 2173446.

6443712 is a `hidden beast` number, since 644 + 3 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6443719) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56968 + ... + 57080.

Almost surely, 2^6443712 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 6443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511028).

6443712 is an abundant number, since it is smaller than the sum of its proper divisors (14578344).

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

6443712 is a wasteful number, since it uses less digits than its factorization.

6443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

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

The square root of 6443712 is about 2538.4467691878. The cubic root of 6443712 is about 186.0852886692.

It can be divided in two parts, 644 and 3712, that added together give a square (4356 = 66²).

The spelling of 6443712 in words is "six million, four hundred forty-three thousand, seven hundred twelve".