6729008544 has 144 divisors (see below), whose sum is σ = 20313001800. Its totient is φ = 2105671680.

The previous prime is 6729008509. The next prime is 6729008563. The reversal of 6729008544 is 4458009276.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6668355600 + 60652944 = 81660^2 + 7788^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6729008544.

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 23 ways as a sum of consecutive naturals, for example, 2196774 + ... + 2199834.

Almost surely, 2^6729008544 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 6729008544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156500900).

6729008544 is an abundant number, since it is smaller than the sum of its proper divisors (13583993256).

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

6729008544 is a wasteful number, since it uses less digits than its factorization.

6729008544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6729008544 is about 82030.5342174486. The cubic root of 6729008544 is about 1887.9204607160.

The spelling of 6729008544 in words is "six billion, seven hundred twenty-nine million, eight thousand, five hundred forty-four".