36766106850 has 96 divisors (see below), whose sum is σ = 99896981184. Its totient is φ = 8874649600.

The previous prime is 36766106711. The next prime is 36766106891. The reversal of 36766106850 is 5860166763.

It is a super-2 number, since 2×36766106850² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36766106850.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336634 + ... + 432266.

It is an arithmetic number, because the mean of its divisors is an integer number (1040593554).

Almost surely, 2^36766106850 is an apocalyptic number.

36766106850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36766106850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49948490592).

36766106850 is an abundant number, since it is smaller than the sum of its proper divisors (63130874334).

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

36766106850 is a wasteful number, since it uses less digits than its factorization.

36766106850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95892 (or 95887 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 36766106850 in words is "thirty-six billion, seven hundred sixty-six million, one hundred six thousand, eight hundred fifty".