11726705664 has 308 divisors, whose sum is σ = 36728682336. Its totient is φ = 3733475328.

The previous prime is 11726705629. The next prime is 11726705677. The reversal of 11726705664 is 46650762711.

11726705664 is a `hidden beast` number, since 1 + 17 + 2 + 6 + 70 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17169067 + ... + 17169749.

Almost surely, 2^11726705664 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 11726705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364341168).

11726705664 is an abundant number, since it is smaller than the sum of its proper divisors (25001976672).

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

11726705664 is an frugal number, since it uses more digits than its factorization.

11726705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11726705664 in words is "eleven billion, seven hundred twenty-six million, seven hundred five thousand, six hundred sixty-four".