729729243027000 has 256 divisors, whose sum is σ = 2530571285174400. Its totient is φ = 194529621600000.

The previous prime is 729729243026989. The next prime is 729729243027013. The reversal of 729729243027000 is 720342927927.

The cubic root of 729729243027000 is 90030.

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

729729243027000 is a `hidden beast` number, since 7 + 297 + 29 + 24 + 302 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243162025500 + ... + 243162028500.

Almost surely, 2^{729729243027000} 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 729729243027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265285642587200).

729729243027000 is an abundant number, since it is smaller than the sum of its proper divisors (1800842042147400).

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

729729243027000 is an frugal number, since it uses more digits than its factorization.

729729243027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 729729243027000 in words is "seven hundred twenty-nine trillion, seven hundred twenty-nine billion, two hundred forty-three million, twenty-seven thousand".