726324949009 has 9 divisors (see below), whose sum is σ = 798367479931. Its totient is φ = 660286885720.

The previous prime is 726324949001. The next prime is 726324949039. The reversal of 726324949009 is 900949423627.

The square root of 726324949009 is 852247.

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

It can be written as a sum of positive squares in only one way, i.e., 639080330625 + 87244618384 = 799425^2 + 295372^2 .

It is not a de Polignac number, because 726324949009 - 2³ = 726324949001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726324949001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9335979 + ... + 9413455.

Almost surely, 2^726324949009 is an apocalyptic number.

726324949009 is the 852247-th square number.

726324949009 is the 426124-th centered octagonal number.

It is an amenable number.

726324949009 is a deficient number, since it is larger than the sum of its proper divisors (72042530922).

726324949009 is an frugal number, since it uses more digits than its factorization.

726324949009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154976 (or 77488 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 726324949009 in words is "seven hundred twenty-six billion, three hundred twenty-four million, nine hundred forty-nine thousand, nine".