6446430432 has 144 divisors (see below), whose sum is σ = 20600824608. Its totient is φ = 1897251840.

The previous prime is 6446430421. The next prime is 6446430457. The reversal of 6446430432 is 2340346446.

6446430432 is a `hidden beast` number, since 6 + 4 + 4 + 643 + 0 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48682 + ... + 123542.

It is an arithmetic number, because the mean of its divisors is an integer number (143061282).

Almost surely, 2^6446430432 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 6446430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300412304).

6446430432 is an abundant number, since it is smaller than the sum of its proper divisors (14154394176).

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

6446430432 is a wasteful number, since it uses less digits than its factorization.

6446430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74913 (or 74902 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 6446430432 is about 80289.6657858283. The cubic root of 6446430432 is about 1861.1145314727.

Adding to 6446430432 its reverse (2340346446), we get a palindrome (8786776878).

The spelling of 6446430432 in words is "six billion, four hundred forty-six million, four hundred thirty thousand, four hundred thirty-two".