12717656064 has 288 divisors, whose sum is σ = 38789150400. Its totient is φ = 4006379520.

The previous prime is 12717656059. The next prime is 12717656071. The reversal of 12717656064 is 46065671721.

12717656064 is a `hidden beast` number, since 1 + 27 + 1 + 7 + 6 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55535502 + ... + 55535730.

It is an arithmetic number, because the mean of its divisors is an integer number (134684550).

Almost surely, 2^12717656064 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 12717656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394575200).

12717656064 is an abundant number, since it is smaller than the sum of its proper divisors (26071494336).

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

12717656064 is a wasteful number, since it uses less digits than its factorization.

12717656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

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

The spelling of 12717656064 in words is "twelve billion, seven hundred seventeen million, six hundred fifty-six thousand, sixty-four".