729186798144 has 112 divisors (see below), whose sum is σ = 2206026592256. Its totient is φ = 208234713600.

The previous prime is 729186798091. The next prime is 729186798161. The reversal of 729186798144 is 441897681927.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567889 + ... + 2837679.

Almost surely, 2^729186798144 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 729186798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103013296128).

729186798144 is an abundant number, since it is smaller than the sum of its proper divisors (1476839794112).

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

729186798144 is a wasteful number, since it uses less digits than its factorization.

729186798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271824 (or 271814 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 66.

The spelling of 729186798144 in words is "seven hundred twenty-nine billion, one hundred eighty-six million, seven hundred ninety-eight thousand, one hundred forty-four".