11707136064 has 560 divisors, whose sum is σ = 40480366080. Its totient is φ = 3314442240.

The previous prime is 11707135987. The next prime is 11707136069. The reversal of 11707136064 is 46063170711.

11707136064 is a `hidden beast` number, since 1 + 170 + 71 + 360 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11707136069) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52498257 + ... + 52498479.

It is an arithmetic number, because the mean of its divisors is an integer number (72286368).

Almost surely, 2^11707136064 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 11707136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240183040).

11707136064 is an abundant number, since it is smaller than the sum of its proper divisors (28773230016).

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

11707136064 is a wasteful number, since it uses less digits than its factorization.

11707136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11707136064 in words is "eleven billion, seven hundred seven million, one hundred thirty-six thousand, sixty-four".