11679473736 has 192 divisors, whose sum is σ = 38142748800. Its totient is φ = 3153945600.

The previous prime is 11679473723. The next prime is 11679473779. The reversal of 11679473736 is 63737497611.

11679473736 is a `hidden beast` number, since 1 + 167 + 9 + 473 + 7 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4987926 + ... + 4990266.

It is an arithmetic number, because the mean of its divisors is an integer number (198660150).

Almost surely, 2^11679473736 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 11679473736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071374400).

11679473736 is an abundant number, since it is smaller than the sum of its proper divisors (26463275064).

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

11679473736 is a wasteful number, since it uses less digits than its factorization.

11679473736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2893 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The spelling of 11679473736 in words is "eleven billion, six hundred seventy-nine million, four hundred seventy-three thousand, seven hundred thirty-six".