36608000000 has 420 divisors, whose sum is σ = 107515342536. Its totient is φ = 12288000000.

The previous prime is 36607999997. The next prime is 36608000029. The reversal of 36608000000 is 80663.

It is a self number, because there is not a number n which added to its sum of digits gives 36608000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2815999994 + ... + 2816000006.

Almost surely, 2^36608000000 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 36608000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53757671268).

36608000000 is an abundant number, since it is smaller than the sum of its proper divisors (70907342536).

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

36608000000 is an frugal number, since it uses more digits than its factorization.

36608000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

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

Adding to 36608000000 its reverse (80663), we get a palindrome (36608080663).

The spelling of 36608000000 in words is "thirty-six billion, six hundred eight million", and thus it is an aban number.