3282768080064 has 168 divisors, whose sum is σ = 10265823959040. Its totient is φ = 994685529600.

The previous prime is 3282768080063. The next prime is 3282768080143. The reversal of 3282768080064 is 4600808672823.

It is not an unprimeable number, because it can be changed into a prime (3282768080063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102063217 + ... + 102095375.

Almost surely, 2^{3282768080064} 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 3282768080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132911979520).

3282768080064 is an abundant number, since it is smaller than the sum of its proper divisors (6983055878976).

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

3282768080064 is a wasteful number, since it uses less digits than its factorization.

3282768080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48299 (or 48286 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3282768080064 in words is "three trillion, two hundred eighty-two billion, seven hundred sixty-eight million, eighty thousand, sixty-four".