1968468480 has 400 divisors, whose sum is σ = 7700292864. Its totient is φ = 476651520.

The previous prime is 1968468461. The next prime is 1968468503. The reversal of 1968468480 is 848648691.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280529 + ... + 2281391.

Almost surely, 2^1968468480 is an apocalyptic number.

1968468480 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 1968468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850146432).

1968468480 is an abundant number, since it is smaller than the sum of its proper divisors (5731824384).

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

1968468480 is an equidigital number, since it uses as much as digits as its factorization.

1968468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1968468480 is about 44367.4258888207. The cubic root of 1968468480 is about 1253.2647414803.

The spelling of 1968468480 in words is "one billion, nine hundred sixty-eight million, four hundred sixty-eight thousand, four hundred eighty".