2668607881758 has 960 divisors, whose sum is σ = 7958725632000. Its totient is φ = 666913927680.

The previous prime is 2668607881741. The next prime is 2668607881817. The reversal of 2668607881758 is 8571887068662.

2668607881758 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 607 + 8 + 8 + 1 + 7 + 5 + 8 = 666.

2668607881758 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25908814335 + ... + 25908814437.

It is an arithmetic number, because the mean of its divisors is an integer number (8290339200).

Almost surely, 2^{2668607881758} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668607881758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979362816000).

2668607881758 is an abundant number, since it is smaller than the sum of its proper divisors (5290117750242).

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

2668607881758 is a wasteful number, since it uses less digits than its factorization.

2668607881758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 2668607881758 in words is "two trillion, six hundred sixty-eight billion, six hundred seven million, eight hundred eighty-one thousand, seven hundred fifty-eight".