726705671153 has 48 divisors (see below), whose sum is σ = 927601839360. Its totient is φ = 557168304000.

The previous prime is 726705671117. The next prime is 726705671161. The reversal of 726705671153 is 351176507627.

It is not a de Polignac number, because 726705671153 - 2²⁴ = 726688893937 is a prime.

It is a super-2 number, since 2×726705671153² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (726705671183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30597863 + ... + 30621603.

It is an arithmetic number, because the mean of its divisors is an integer number (19325038320).

Almost surely, 2^726705671153 is an apocalyptic number.

It is an amenable number.

726705671153 is a deficient number, since it is larger than the sum of its proper divisors (200896168207).

726705671153 is a wasteful number, since it uses less digits than its factorization.

726705671153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24350 (or 24339 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 50.

The spelling of 726705671153 in words is "seven hundred twenty-six billion, seven hundred five million, six hundred seventy-one thousand, one hundred fifty-three".