726817631296 has 63 divisors (see below), whose sum is σ = 1467150066837. Its totient is φ = 357246685440.

The previous prime is 726817631269. The next prime is 726817631327. The reversal of 726817631296 is 692136718627.

The square root of 726817631296 is 852536.

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., 23634757696 + 703182873600 = 153736^2 + 838560^2 .

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 726817631296.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 416036695 + ... + 416038441.

It is an arithmetic number, because the mean of its divisors is an integer number (23288096299).

Almost surely, 2^726817631296 is an apocalyptic number.

726817631296 is the 852536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726817631296

726817631296 is an abundant number, since it is smaller than the sum of its proper divisors (740332435541).

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

726817631296 is an frugal number, since it uses more digits than its factorization.

726817631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 1810 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

The spelling of 726817631296 in words is "seven hundred twenty-six billion, eight hundred seventeen million, six hundred thirty-one thousand, two hundred ninety-six".