1968999840 has 384 divisors, whose sum is σ = 7409283840. Its totient is φ = 492687360.

The previous prime is 1968999833. The next prime is 1968999841. The reversal of 1968999840 is 489998691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968999841) 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, 5948475 + ... + 5948805.

It is an arithmetic number, because the mean of its divisors is an integer number (19295010).

Almost surely, 2^1968999840 is an apocalyptic number.

1968999840 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 1968999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704641920).

1968999840 is an abundant number, since it is smaller than the sum of its proper divisors (5440284000).

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

1968999840 is an equidigital number, since it uses as much as digits as its factorization.

1968999840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 1968999840 is about 44373.4136617863. The cubic root of 1968999840 is about 1253.3774983179.

The spelling of 1968999840 in words is "one billion, nine hundred sixty-eight million, nine hundred ninety-nine thousand, eight hundred forty".