12719767968 has 144 divisors (see below), whose sum is σ = 38270232000. Its totient is φ = 3996241920.

The previous prime is 12719767943. The next prime is 12719768003. The reversal of 12719767968 is 86976791721.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1083088 + ... + 1094768.

It is an arithmetic number, because the mean of its divisors is an integer number (265765500).

Almost surely, 2^12719767968 is an apocalyptic number.

12719767968 is a gapful number since it is divisible by the number (18) 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 12719767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135116000).

12719767968 is an abundant number, since it is smaller than the sum of its proper divisors (25550464032).

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

12719767968 is a wasteful number, since it uses less digits than its factorization.

12719767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915 (or 11904 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The spelling of 12719767968 in words is "twelve billion, seven hundred nineteen million, seven hundred sixty-seven thousand, nine hundred sixty-eight".