729353576484 has 81 divisors (see below), whose sum is σ = 1996553998803. Its totient is φ = 224395988544.

The previous prime is 729353576473. The next prime is 729353576509. The reversal of 729353576484 is 484675353927.

It is a happy number.

The square root of 729353576484 is 854022.

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

729353576484 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 53 + 576 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 479625502500 + 249728073984 = 692550^2 + 499728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66608242 + ... + 66619190.

Almost surely, 2^729353576484 is an apocalyptic number.

729353576484 is the 854022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729353576484

729353576484 is an abundant number, since it is smaller than the sum of its proper divisors (1267200422319).

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

729353576484 is a wasteful number, since it uses less digits than its factorization.

729353576484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21934 (or 10967 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 729353576484 in words is "seven hundred twenty-nine billion, three hundred fifty-three million, five hundred seventy-six thousand, four hundred eighty-four".