3282550064640 has 2240 divisors, whose sum is σ = 15024353236992. Its totient is φ = 667666022400.

The previous prime is 3282550064617. The next prime is 3282550064771. The reversal of 3282550064640 is 464600552823.

3282550064640 is a `hidden beast` number, since 3 + 2 + 8 + 25 + 500 + 64 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7616125225 + ... + 7616125655.

Almost surely, 2^{3282550064640} is an apocalyptic number.

3282550064640 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 3282550064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512176618496).

3282550064640 is an abundant number, since it is smaller than the sum of its proper divisors (11741803172352).

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

3282550064640 is an equidigital number, since it uses as much as digits as its factorization.

3282550064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3282550064640 in words is "three trillion, two hundred eighty-two billion, five hundred fifty million, sixty-four thousand, six hundred forty".