36681836693568 has 448 divisors, whose sum is σ = 113203849466880. Its totient is φ = 10365168844800.

The previous prime is 36681836693519. The next prime is 36681836693569. The reversal of 36681836693568 is 86539663818663.

It is a junction number, because it is equal to n+sod(n) for n = 36681836693493 and 36681836693502.

It is not an unprimeable number, because it can be changed into a prime (36681836693569) 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, 3852724648 + ... + 3852734168.

Almost surely, 2^{36681836693568} is an apocalyptic number.

36681836693568 is a gapful number since it is divisible by the number (38) 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 36681836693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56601924733440).

36681836693568 is an abundant number, since it is smaller than the sum of its proper divisors (76522012773312).

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

36681836693568 is a wasteful number, since it uses less digits than its factorization.

36681836693568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 11056 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 78.

The spelling of 36681836693568 in words is "thirty-six trillion, six hundred eighty-one billion, eight hundred thirty-six million, six hundred ninety-three thousand, five hundred sixty-eight".