1968873984 has 480 divisors, whose sum is σ = 7353815040. Its totient is φ = 492134400.

The previous prime is 1968873971. The next prime is 1968874009. The reversal of 1968873984 is 4893788691.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20901888) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10999207 + ... + 10999385.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^1968873984 is an apocalyptic number.

1968873984 is a gapful number since it is divisible by the number (14) 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 1968873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

1968873984 is an abundant number, since it is smaller than the sum of its proper divisors (5384941056).

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

1968873984 is a wasteful number, since it uses less digits than its factorization.

1968873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 1968873984 is about 44371.9954926528. The cubic root of 1968873984 is about 1253.3507929764.

The spelling of 1968873984 in words is "one billion, nine hundred sixty-eight million, eight hundred seventy-three thousand, nine hundred eighty-four".