1968652381696 has 320 divisors, whose sum is σ = 5287801559040. Its totient is φ = 707134095360.

The previous prime is 1968652381667. The next prime is 1968652381727. The reversal of 1968652381696 is 6961832568691.

It is a super-3 number, since 3×1968652381696³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

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, 532498120 + ... + 532501816.

It is an arithmetic number, because the mean of its divisors is an integer number (16524379872).

Almost surely, 2^{1968652381696} is an apocalyptic number.

1968652381696 is a gapful number since it is divisible by the number (16) 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 1968652381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643900779520).

1968652381696 is an abundant number, since it is smaller than the sum of its proper divisors (3319149177344).

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

1968652381696 is a wasteful number, since it uses less digits than its factorization.

1968652381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4769 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 70.

The spelling of 1968652381696 in words is "one trillion, nine hundred sixty-eight billion, six hundred fifty-two million, three hundred eighty-one thousand, six hundred ninety-six".