729066653316 has 81 divisors (see below), whose sum is σ = 1862667840943. Its totient is φ = 240445286400.

The previous prime is 729066653311. The next prime is 729066653351. The reversal of 729066653316 is 613356660927.

The square root of 729066653316 is 853854.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5410190916 + 723656462400 = 73554^2 + 850680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729066653311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 517434820 + ... + 517436228.

Almost surely, 2^729066653316 is an apocalyptic number.

729066653316 is the 853854-th square number.

It is an amenable number.

729066653316 is an abundant number, since it is smaller than the sum of its proper divisors (1133601187627).

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

729066653316 is a wasteful number, since it uses less digits than its factorization.

729066653316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 729066653316 in words is "seven hundred twenty-nine billion, sixty-six million, six hundred fifty-three thousand, three hundred sixteen".