36812363616 has 144 divisors (see below), whose sum is σ = 119696338944. Its totient is φ = 10512882432.

The previous prime is 36812363593. The next prime is 36812363759. The reversal of 36812363616 is 61636321863.

36812363616 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 2 + 3 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36812363616² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7995171 + ... + 7999773.

It is an arithmetic number, because the mean of its divisors is an integer number (831224576).

Almost surely, 2^36812363616 is an apocalyptic number.

36812363616 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 36812363616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59848169472).

36812363616 is an abundant number, since it is smaller than the sum of its proper divisors (82883975328).

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

36812363616 is a wasteful number, since it uses less digits than its factorization.

36812363616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8582 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 36812363616 in words is "thirty-six billion, eight hundred twelve million, three hundred sixty-three thousand, six hundred sixteen".