3261557706768 has 960 divisors, whose sum is σ = 10557404282880. Its totient is φ = 971415244800.

The previous prime is 3261557706763. The next prime is 3261557706773. The reversal of 3261557706768 is 8676077551623.

It is a happy number.

3261557706768 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 557 + 7 + 0 + 6 + 76 + 8 = 666.

3261557706768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3261557706763) and next prime (3261557706773).

It is not an unprimeable number, because it can be changed into a prime (3261557706763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11606966788 + ... + 11606967068.

It is an arithmetic number, because the mean of its divisors is an integer number (10997296128).

Almost surely, 2^{3261557706768} 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 3261557706768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278702141440).

3261557706768 is an abundant number, since it is smaller than the sum of its proper divisors (7295846576112).

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

3261557706768 is a wasteful number, since it uses less digits than its factorization.

3261557706768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 3261557706768 in words is "three trillion, two hundred sixty-one billion, five hundred fifty-seven million, seven hundred six thousand, seven hundred sixty-eight".