1968709380 has 192 divisors, whose sum is σ = 6395977728. Its totient is φ = 447715840.

The previous prime is 1968709367. The next prime is 1968709387. The reversal of 1968709380 is 839078691.

1968709380 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1968709387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 803317 + ... + 805763.

It is an arithmetic number, because the mean of its divisors is an integer number (33312384).

Almost surely, 2^1968709380 is an apocalyptic number.

1968709380 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 1968709380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197988864).

1968709380 is an abundant number, since it is smaller than the sum of its proper divisors (4427268348).

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

1968709380 is a wasteful number, since it uses less digits than its factorization.

1968709380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1968709380 is about 44370.1406353417. The cubic root of 1968709380 is about 1253.3158639925.

The spelling of 1968709380 in words is "one billion, nine hundred sixty-eight million, seven hundred nine thousand, three hundred eighty".