1329468768 has 96 divisors (see below), whose sum is σ = 3924547200. Its totient is φ = 437793408.

The previous prime is 1329468733. The next prime is 1329468781. The reversal of 1329468768 is 8678649231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62443 + ... + 80981.

It is an arithmetic number, because the mean of its divisors is an integer number (40880700).

Almost surely, 2^1329468768 is an apocalyptic number.

1329468768 is a gapful number since it is divisible by the number (18) 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 1329468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962273600).

1329468768 is an abundant number, since it is smaller than the sum of its proper divisors (2595078432).

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

1329468768 is a wasteful number, since it uses less digits than its factorization.

1329468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18627 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1329468768 is about 36461.8810266283. The cubic root of 1329468768 is about 1099.5780111375.

The spelling of 1329468768 in words is "one billion, three hundred twenty-nine million, four hundred sixty-eight thousand, seven hundred sixty-eight".