729000000000000 has 1183 divisors, whose sum is σ = 2732166440632903. Its totient is φ = 194400000000000.

The previous prime is 728999999999977. The next prime is 729000000000023. The reversal of 729000000000000 is 927.

The square root of 729000000000000 is 27000000.

The cubic root of 729000000000000 is 90000.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (728999999999977) and next prime (729000000000023).

It can be written as a sum of positive squares in 6 ways, for example, as 412462954745856 + 316537045254144 = 20309184^2 + 17791488^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 145799999999998 + ... + 145800000000002.

Almost surely, 2^{729000000000000} is an apocalyptic number.

729000000000000 is the 27000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729000000000000

729000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2003166440632903).

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

729000000000000 is an frugal number, since it uses more digits than its factorization.

729000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 10 counting only the distinct ones).

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

Adding to 729000000000000 its reverse (927), we get a palindrome (729000000000927).

The spelling of 729000000000000 in words is "seven hundred twenty-nine trillion", and thus it is an aban number.