36686571768 has 288 divisors, whose sum is σ = 125483904000. Its totient is φ = 9477959040.

The previous prime is 36686571767. The next prime is 36686571773. The reversal of 36686571768 is 86717568663.

It is a super-2 number, since 2×36686571768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36686571763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12134305 + ... + 12137327.

It is an arithmetic number, because the mean of its divisors is an integer number (435708000).

Almost surely, 2^36686571768 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 36686571768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952000).

36686571768 is an abundant number, since it is smaller than the sum of its proper divisors (88797332232).

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

36686571768 is a wasteful number, since it uses less digits than its factorization.

36686571768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3245 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 36686571768 in words is "thirty-six billion, six hundred eighty-six million, five hundred seventy-one thousand, seven hundred sixty-eight".