1968758784 has 336 divisors, whose sum is σ = 6297363072. Its totient is φ = 613122048.

The previous prime is 1968758773. The next prime is 1968758791. The reversal of 1968758784 is 4878578691.

It is a super-2 number, since 2×1968758784² = 7752022299154317312, which contains 22 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45785067 + ... + 45785109.

It is an arithmetic number, because the mean of its divisors is an integer number (18742152).

Almost surely, 2^1968758784 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 1968758784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148681536).

1968758784 is an abundant number, since it is smaller than the sum of its proper divisors (4328604288).

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

1968758784 is an frugal number, since it uses more digits than its factorization.

1968758784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The square root of 1968758784 is about 44370.6973576030. The cubic root of 1968758784 is about 1253.3263477303.

The spelling of 1968758784 in words is "one billion, nine hundred sixty-eight million, seven hundred fifty-eight thousand, seven hundred eighty-four".