1968406166688 has 192 divisors, whose sum is σ = 5629320208512. Its totient is φ = 598649978880.

The previous prime is 1968406166641. The next prime is 1968406166693. The reversal of 1968406166688 is 8866616048691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39812703 + ... + 39862113.

It is an arithmetic number, because the mean of its divisors is an integer number (29319376086).

Almost surely, 2^{1968406166688} 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 1968406166688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814660104256).

1968406166688 is an abundant number, since it is smaller than the sum of its proper divisors (3660914041824).

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

1968406166688 is a wasteful number, since it uses less digits than its factorization.

1968406166688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49807 (or 49799 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

It can be divided in two parts, 196840 and 6166688, that added together give a triangular number (6363528 = T₃₅₆₇).

The spelling of 1968406166688 in words is "one trillion, nine hundred sixty-eight billion, four hundred six million, one hundred sixty-six thousand, six hundred eighty-eight".