32768645760 has 192 divisors, whose sum is σ = 113420736000. Its totient is φ = 8717727744.

The previous prime is 32768645743. The next prime is 32768645779. The reversal of 32768645760 is 6754686723.

32768645760 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 64 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 32768645697 and 32768645706.

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, 2522161 + ... + 2535119.

It is an arithmetic number, because the mean of its divisors is an integer number (590733000).

Almost surely, 2^32768645760 is an apocalyptic number.

32768645760 is a gapful number since it is divisible by the number (30) 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 32768645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56710368000).

32768645760 is an abundant number, since it is smaller than the sum of its proper divisors (80652090240).

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

32768645760 is a wasteful number, since it uses less digits than its factorization.

32768645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 32768645760 in words is "thirty-two billion, seven hundred sixty-eight million, six hundred forty-five thousand, seven hundred sixty".