1968028344384 has 224 divisors, whose sum is σ = 5324991428736. Its totient is φ = 641300398080.

The previous prime is 1968028344371. The next prime is 1968028344409. The reversal of 1968028344384 is 4834438208691.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014358104 + ... + 2014359080.

It is an arithmetic number, because the mean of its divisors is an integer number (23772283164).

Almost surely, 2^{1968028344384} 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 1968028344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662495714368).

1968028344384 is an abundant number, since it is smaller than the sum of its proper divisors (3356963084352).

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

1968028344384 is a wasteful number, since it uses less digits than its factorization.

1968028344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 1968028344384 in words is "one trillion, nine hundred sixty-eight billion, twenty-eight million, three hundred forty-four thousand, three hundred eighty-four".