36768536243712 has 960 divisors, whose sum is σ = 141048337953600. Its totient is φ = 9362745262080.

The previous prime is 36768536243689. The next prime is 36768536243743. The reversal of 36768536243712 is 21734263586763.

36768536243712 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 8 + 536 + 24 + 3 + 71 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36768536243712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255298762 + ... + 255442742.

It is an arithmetic number, because the mean of its divisors is an integer number (146925352035).

Almost surely, 2^{36768536243712} is an apocalyptic number.

36768536243712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36768536243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70524168976800).

36768536243712 is an abundant number, since it is smaller than the sum of its proper divisors (104279801709888).

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

36768536243712 is a wasteful number, since it uses less digits than its factorization.

36768536243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144064 (or 144035 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 36768536243712 in words is "thirty-six trillion, seven hundred sixty-eight billion, five hundred thirty-six million, two hundred forty-three thousand, seven hundred twelve".