36180684288 has 480 divisors, whose sum is σ = 128676049920. Its totient is φ = 9998069760.

The previous prime is 36180684269. The next prime is 36180684307. The reversal of 36180684288 is 88248608163.

36180684288 is a `hidden beast` number, since 36 + 180 + 6 + 8 + 428 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (36180684269) and next prime (36180684307).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20997795 + ... + 20999517.

It is an arithmetic number, because the mean of its divisors is an integer number (268075104).

Almost surely, 2^36180684288 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 36180684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64338024960).

36180684288 is an abundant number, since it is smaller than the sum of its proper divisors (92495365632).

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

36180684288 is a wasteful number, since it uses less digits than its factorization.

36180684288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 36180684288 in words is "thirty-six billion, one hundred eighty million, six hundred eighty-four thousand, two hundred eighty-eight".