726740155642217 has 8 divisors (see below), whose sum is σ = 751920854752200. Its totient is φ = 701567502781824.

The previous prime is 726740155642147. The next prime is 726740155642243. The reversal of 726740155642217 is 712246551047627.

It can be written as a sum of positive squares in 4 ways, for example, as 154829144897296 + 571911010744921 = 12443036^2 + 23914661^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 726740155642217 - 2²⁰ = 726740154593641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726740155642297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2011378628 + ... + 2011739909.

It is an arithmetic number, because the mean of its divisors is an integer number (93990106844025).

Almost surely, 2^{726740155642217} is an apocalyptic number.

It is an amenable number.

726740155642217 is a deficient number, since it is larger than the sum of its proper divisors (25180699109983).

726740155642217 is a wasteful number, since it uses less digits than its factorization.

726740155642217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023124795.

The product of its (nonzero) digits is 39513600, while the sum is 59.

The spelling of 726740155642217 in words is "seven hundred twenty-six trillion, seven hundred forty billion, one hundred fifty-five million, six hundred forty-two thousand, two hundred seventeen".