12784510340 has 96 divisors (see below), whose sum is σ = 32601864960. Its totient is φ = 4125199872.

The previous prime is 12784510339. The next prime is 12784510369. The reversal of 12784510340 is 4301548721.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12784510340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678527 + ... + 697113.

It is an arithmetic number, because the mean of its divisors is an integer number (339602760).

Almost surely, 2^12784510340 is an apocalyptic number.

12784510340 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 12784510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300932480).

12784510340 is an abundant number, since it is smaller than the sum of its proper divisors (19817354620).

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

12784510340 is a wasteful number, since it uses less digits than its factorization.

12784510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18654 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 12784510340 in words is "twelve billion, seven hundred eighty-four million, five hundred ten thousand, three hundred forty".