729000000000 has 700 divisors, whose sum is σ = 2729831263434. Its totient is φ = 194400000000.

The previous prime is 728999999989. The next prime is 729000000019. The reversal of 729000000000 is 927.

The cubic root of 729000000000 is 9000.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 685822484736 + 43177515264 = 828144^2 + 207792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 729000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 145799999998 + ... + 145800000002.

Almost surely, 2^729000000000 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 729000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364915631717).

729000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2000831263434).

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

729000000000 is an frugal number, since it uses more digits than its factorization.

729000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 729000000000 its reverse (927), we get a palindrome (729000000927).

The spelling of 729000000000 in words is "seven hundred twenty-nine billion", and thus it is an aban number.