12784482432 has 96 divisors (see below), whose sum is σ = 37078778880. Its totient is φ = 4227890688.

The previous prime is 12784482407. The next prime is 12784482463. The reversal of 12784482432 is 23428448721.

12784482432 is a `hidden beast` number, since 127 + 8 + 4 + 482 + 43 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102613 + ... + 189995.

It is an arithmetic number, because the mean of its divisors is an integer number (386237280).

Almost surely, 2^12784482432 is an apocalyptic number.

12784482432 is a gapful number since it is divisible by the number (12) 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 12784482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539389440).

12784482432 is an abundant number, since it is smaller than the sum of its proper divisors (24294296448).

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

12784482432 is a wasteful number, since it uses less digits than its factorization.

12784482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87530 (or 87515 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

It can be divided in two parts, 127844 and 82432, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 12784482432 in words is "twelve billion, seven hundred eighty-four million, four hundred eighty-two thousand, four hundred thirty-two".