1968075768 has 64 divisors (see below), whose sum is σ = 5050876320. Its totient is φ = 638668800.

The previous prime is 1968075751. The next prime is 1968075773. The reversal of 1968075768 is 8675708691.

It is a Cunningham number, because it is equal to 44363²-1.

1968075768 is a modest number, since divided by 75768 gives 1968 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 530496 + ... + 534192.

Almost surely, 2^1968075768 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 1968075768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525438160).

1968075768 is an abundant number, since it is smaller than the sum of its proper divisors (3082800552).

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

1968075768 is a wasteful number, since it uses less digits than its factorization.

1968075768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 1968075768 is about 44362.9999887293. Note that the first 4 decimals coincide. The cubic root of 1968075768 is about 1253.1813932934.

The spelling of 1968075768 in words is "one billion, nine hundred sixty-eight million, seventy-five thousand, seven hundred sixty-eight".