729618027012 has 144 divisors (see below), whose sum is σ = 2136100861440. Its totient is φ = 205665917184.

The previous prime is 729618026981. The next prime is 729618027049. The reversal of 729618027012 is 210720816927.

It is a happy number.

729618027012 is a `hidden beast` number, since 7 + 2 + 9 + 618 + 0 + 27 + 0 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27320338 + ... + 27347030.

It is an arithmetic number, because the mean of its divisors is an integer number (14834033760).

Almost surely, 2^729618027012 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 729618027012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068050430720).

729618027012 is an abundant number, since it is smaller than the sum of its proper divisors (1406482834428).

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

729618027012 is a wasteful number, since it uses less digits than its factorization.

729618027012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28162 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 729618027012 in words is "seven hundred twenty-nine billion, six hundred eighteen million, twenty-seven thousand, twelve".