6544431504 has 160 divisors (see below), whose sum is σ = 20417443200. Its totient is φ = 1995010560.

The previous prime is 6544431457. The next prime is 6544431511. The reversal of 6544431504 is 4051344456.

6544431504 is a `hidden beast` number, since 65 + 4 + 443 + 150 + 4 = 666.

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

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 606799 + ... + 617489.

It is an arithmetic number, because the mean of its divisors is an integer number (127609020).

Almost surely, 2^6544431504 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 6544431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208721600).

6544431504 is an abundant number, since it is smaller than the sum of its proper divisors (13873011696).

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

6544431504 is a wasteful number, since it uses less digits than its factorization.

6544431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6544431504 is about 80897.6606831125. The cubic root of 6544431504 is about 1870.4982614232.

The spelling of 6544431504 in words is "six billion, five hundred forty-four million, four hundred thirty-one thousand, five hundred four".