3242559710664 has 576 divisors, whose sum is σ = 9669976992000. Its totient is φ = 980037273600.

The previous prime is 3242559710659. The next prime is 3242559710683. The reversal of 3242559710664 is 4660179552423.

It is a happy number.

3242559710664 is a `hidden beast` number, since 3 + 2 + 42 + 5 + 597 + 1 + 0 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3242559710664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11965164849 + ... + 11965165119.

It is an arithmetic number, because the mean of its divisors is an integer number (16788154500).

Almost surely, 2^{3242559710664} 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 3242559710664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834988496000).

3242559710664 is an abundant number, since it is smaller than the sum of its proper divisors (6427417281336).

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

3242559710664 is a wasteful number, since it uses less digits than its factorization.

3242559710664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3242559710664 in words is "three trillion, two hundred forty-two billion, five hundred fifty-nine million, seven hundred ten thousand, six hundred sixty-four".