32768345736 has 192 divisors, whose sum is σ = 104376729600. Its totient is φ = 9092490624.

The previous prime is 32768345683. The next prime is 32768345747. The reversal of 32768345736 is 63754386723.

32768345736 is a `hidden beast` number, since 3 + 2 + 7 + 68 + 3 + 4 + 573 + 6 = 666.

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, 3875065 + ... + 3883511.

It is an arithmetic number, because the mean of its divisors is an integer number (543628800).

Almost surely, 2^32768345736 is an apocalyptic number.

32768345736 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 32768345736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52188364800).

32768345736 is an abundant number, since it is smaller than the sum of its proper divisors (71608383864).

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

32768345736 is a wasteful number, since it uses less digits than its factorization.

32768345736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8681 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 32768345736 in words is "thirty-two billion, seven hundred sixty-eight million, three hundred forty-five thousand, seven hundred thirty-six".