1968960000 has 400 divisors, whose sum is σ = 7516643904. Its totient is φ = 448512000.

The previous prime is 1968959989. The next prime is 1968960031. The reversal of 1968960000 is 698691.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719854 + ... + 6720146.

Almost surely, 2^1968960000 is an apocalyptic number.

1968960000 is a gapful number since it is divisible by the number (10) 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 1968960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758321952).

1968960000 is an abundant number, since it is smaller than the sum of its proper divisors (5547683904).

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

1968960000 is an frugal number, since it uses more digits than its factorization.

1968960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1968960000 is about 44372.9647420589. The cubic root of 1968960000 is about 1253.3690448051.

The spelling of 1968960000 in words is "one billion, nine hundred sixty-eight million, nine hundred sixty thousand".