1968000000 has 308 divisors, whose sum is σ = 6716632776. Its totient is φ = 512000000.

The previous prime is 1967999989. The next prime is 1968000007. The reversal of 1968000000 is 8691.

It is a super-3 number, since 3×1968000000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1968000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47999980 + ... + 48000020.

Almost surely, 2^1968000000 is an apocalyptic number.

1968000000 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 1968000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358316388).

1968000000 is an abundant number, since it is smaller than the sum of its proper divisors (4748632776).

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

1968000000 is an frugal number, since it uses more digits than its factorization.

1968000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1968000000 is about 44362.1460256377. The cubic root of 1968000000 is about 1253.1653112117.

Adding to 1968000000 its reverse (8691), we get a palindrome (1968008691).

The spelling of 1968000000 in words is "one billion, nine hundred sixty-eight million", and thus it is an aban number.