6544242432 has 486 divisors, whose sum is σ = 23836837752. Its totient is φ = 1725954048.

The previous prime is 6544242427. The next prime is 6544242433. The reversal of 6544242432 is 2342424456.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6544242433) 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 53 ways as a sum of consecutive naturals, for example, 503403258 + ... + 503403270.

Almost surely, 2^6544242432 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 6544242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918418876).

6544242432 is an abundant number, since it is smaller than the sum of its proper divisors (17292595320).

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

6544242432 is an frugal number, since it uses more digits than its factorization.

6544242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 25 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 6544242432 is about 80896.4920871109. The cubic root of 6544242432 is about 1870.4802480301.

Adding to 6544242432 its reverse (2342424456), we get a palindrome (8886666888).

The spelling of 6544242432 in words is "six billion, five hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".