36608000000000 has 720 divisors, whose sum is σ = 107519578833744. Its totient is φ = 12288000000000.

The previous prime is 36607999999997. The next prime is 36608000000027. The reversal of 36608000000000 is 80663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2815999999994 + ... + 2816000000006.

Almost surely, 2^{36608000000000} 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 36608000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53759789416872).

36608000000000 is an abundant number, since it is smaller than the sum of its proper divisors (70911578833744).

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

36608000000000 is an frugal number, since it uses more digits than its factorization.

36608000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 36608000000000 its reverse (80663), we get a palindrome (36608000080663).

The spelling of 36608000000000 in words is "thirty-six trillion, six hundred eight billion", and thus it is an aban number.