36135974784 has 512 divisors, whose sum is σ = 123516288000. Its totient is φ = 9158123520.

The previous prime is 36135974783. The next prime is 36135974789. The reversal of 36135974784 is 48747953163.

36135974784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36135974783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171260439 + ... + 171260649.

It is an arithmetic number, because the mean of its divisors is an integer number (241242750).

Almost surely, 2^36135974784 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 36135974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61758144000).

36135974784 is an abundant number, since it is smaller than the sum of its proper divisors (87380313216).

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

36135974784 is a wasteful number, since it uses less digits than its factorization.

36135974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 265 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 36135974784 in words is "thirty-six billion, one hundred thirty-five million, nine hundred seventy-four thousand, seven hundred eighty-four".