726253747745727 has 8 divisors (see below), whose sum is σ = 975730225979520. Its totient is φ = 480473217337880.

The previous prime is 726253747745689. The next prime is 726253747745777. The reversal of 726253747745727 is 727547747352627.

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 726253747745727 - 2⁶ = 726253747745663 is a prime.

It is a super-3 number, since 3×726253747745727³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726253747745777) 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, 923986956027 + ... + 923986956812.

It is an arithmetic number, because the mean of its divisors is an integer number (121966278247440).

Almost surely, 2^{726253747745727} is an apocalyptic number.

726253747745727 is a deficient number, since it is larger than the sum of its proper divisors (249476478233793).

726253747745727 is a wasteful number, since it uses less digits than its factorization.

726253747745727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847973912973.

The product of its digits is 6776582400, while the sum is 75.

The spelling of 726253747745727 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, seven hundred forty-seven million, seven hundred forty-five thousand, seven hundred twenty-seven".