729560264449 has 27 divisors (see below), whose sum is σ = 768492964641. Its totient is φ = 692573310120.

The previous prime is 729560264423. The next prime is 729560264453. The reversal of 729560264449 is 944462065927.

The square root of 729560264449 is 854143.

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

729560264449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729560264449 - 2¹⁵ = 729560231681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 729560264393 and 729560264402.

It is not an unprimeable number, because it can be changed into a prime (729560264249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1562227314 + ... + 1562227780.

Almost surely, 2^729560264449 is an apocalyptic number.

729560264449 is the 854143-rd square number.

729560264449 is the 427072-nd centered octagonal number.

It is an amenable number.

729560264449 is a deficient number, since it is larger than the sum of its proper divisors (38932700192).

729560264449 is an frugal number, since it uses more digits than its factorization.

729560264449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

It can be divided in two parts, 729560 and 264449, that added together give a square (994009 = 997²).

The spelling of 729560264449 in words is "seven hundred twenty-nine billion, five hundred sixty million, two hundred sixty-four thousand, four hundred forty-nine".