729273840084 has 72 divisors (see below), whose sum is σ = 1908160450560. Its totient is φ = 234567127872.

The previous prime is 729273840037. The next prime is 729273840089. The reversal of 729273840084 is 480048372927.

It is a happy number.

729273840084 is a `hidden beast` number, since 7 + 2 + 92 + 73 + 8 + 400 + 84 = 666.

729273840084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 729273840084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729273840089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1526149 + ... + 1946195.

It is an arithmetic number, because the mean of its divisors is an integer number (26502228480).

Almost surely, 2^729273840084 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 729273840084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954080225280).

729273840084 is an abundant number, since it is smaller than the sum of its proper divisors (1178886610476).

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

729273840084 is a wasteful number, since it uses less digits than its factorization.

729273840084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421749 (or 421744 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 729273840084 in words is "seven hundred twenty-nine billion, two hundred seventy-three million, eight hundred forty thousand, eighty-four".