36132783336 has 192 divisors, whose sum is σ = 109010603520. Its totient is φ = 10737031680.

The previous prime is 36132783319. The next prime is 36132783343. The reversal of 36132783336 is 63338723163.

36132783336 is a `hidden beast` number, since 3 + 613 + 27 + 8 + 3 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36132783291 and 36132783300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18946495 + ... + 18948401.

It is an arithmetic number, because the mean of its divisors is an integer number (567763560).

Almost surely, 2^36132783336 is an apocalyptic number.

36132783336 is a gapful number since it is divisible by the number (36) 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 36132783336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54505301760).

36132783336 is an abundant number, since it is smaller than the sum of its proper divisors (72877820184).

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

36132783336 is a wasteful number, since it uses less digits than its factorization.

36132783336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2609 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 36132783336 in words is "thirty-six billion, one hundred thirty-two million, seven hundred eighty-three thousand, three hundred thirty-six".