36687746180160 has 448 divisors, whose sum is σ = 137749678272000. Its totient is φ = 9160188493824.

The previous prime is 36687746180147. The next prime is 36687746180179. The reversal of 36687746180160 is 6108164778663.

It is a happy number.

36687746180160 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 7 + 7 + 4 + 618 + 0 + 1 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27700741 + ... + 28994939.

Almost surely, 2^{36687746180160} is an apocalyptic number.

36687746180160 is a gapful number since it is divisible by the number (30) 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 36687746180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874839136000).

36687746180160 is an abundant number, since it is smaller than the sum of its proper divisors (101061932091840).

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

36687746180160 is a wasteful number, since it uses less digits than its factorization.

36687746180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294435 (or 1294419 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 36687746180160 in words is "thirty-six trillion, six hundred eighty-seven billion, seven hundred forty-six million, one hundred eighty thousand, one hundred sixty".