726669297601 has 27 divisors (see below), whose sum is σ = 822854432547. Its totient is φ = 641382627600.

The previous prime is 726669297587. The next prime is 726669297619. The reversal of 726669297601 is 106792966627.

The square root of 726669297601 is 852449.

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., 107495458225 + 619173839376 = 327865^2 + 786876^2 .

It is not a de Polignac number, because 726669297601 - 2²¹ = 726667200449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 726669297601.

It is not an unprimeable number, because it can be changed into a prime (726669297631) 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, 254880826 + ... + 254883676.

Almost surely, 2^726669297601 is an apocalyptic number.

726669297601 is the 852449-th square number.

726669297601 is the 426225-th centered octagonal number.

It is an amenable number.

726669297601 is a deficient number, since it is larger than the sum of its proper divisors (96185134946).

726669297601 is an frugal number, since it uses more digits than its factorization.

726669297601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 61.

The spelling of 726669297601 in words is "seven hundred twenty-six billion, six hundred sixty-nine million, two hundred ninety-seven thousand, six hundred one".