726617123856 has 200 divisors, whose sum is σ = 2269880890200. Its totient is φ = 223074238464.

The previous prime is 726617123807. The next prime is 726617123867. The reversal of 726617123856 is 658321716627.

726617123856 is a `hidden beast` number, since 7 + 2 + 6 + 617 + 12 + 3 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25445354256 + 701171769600 = 159516^2 + 837360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7516726 + ... + 7612778.

It is an arithmetic number, because the mean of its divisors is an integer number (11349404451).

Almost surely, 2^726617123856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726617123856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134940445100).

726617123856 is an abundant number, since it is smaller than the sum of its proper divisors (1543263766344).

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

726617123856 is a wasteful number, since it uses less digits than its factorization.

726617123856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96535 (or 96520 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 726617123856 in words is "seven hundred twenty-six billion, six hundred seventeen million, one hundred twenty-three thousand, eight hundred fifty-six".