3068851027968 has 1024 divisors, whose sum is σ = 10678954464000. Its totient is φ = 871429570560.

The previous prime is 3068851027967. The next prime is 3068851028011. The reversal of 3068851027968 is 8697201588603.

3068851027968 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 8 + 510 + 27 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is not an unprimeable number, because it can be changed into a prime (3068851027961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13401096078 + ... + 13401096306.

Almost surely, 2^{3068851027968} 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 3068851027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339477232000).

3068851027968 is an abundant number, since it is smaller than the sum of its proper divisors (7610103436032).

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

3068851027968 is an frugal number, since it uses more digits than its factorization.

3068851027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 3068851027968 in words is "three trillion, sixty-eight billion, eight hundred fifty-one million, twenty-seven thousand, nine hundred sixty-eight".