36711884664 has 960 divisors, whose sum is σ = 140897433600. Its totient is φ = 8817984000.

The previous prime is 36711884641. The next prime is 36711884669. The reversal of 36711884664 is 46648811763.

36711884664 is a `hidden beast` number, since 3 + 67 + 118 + 8 + 466 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 36711884664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36711884669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 243124989 + ... + 243125139.

It is an arithmetic number, because the mean of its divisors is an integer number (146768160).

Almost surely, 2^36711884664 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 36711884664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70448716800).

36711884664 is an abundant number, since it is smaller than the sum of its proper divisors (104185548936).

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

36711884664 is a wasteful number, since it uses less digits than its factorization.

36711884664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 36711884664 in words is "thirty-six billion, seven hundred eleven million, eight hundred eighty-four thousand, six hundred sixty-four".