12782964240 has 320 divisors, whose sum is σ = 45454590720. Its totient is φ = 3299512320.

The previous prime is 12782964239. The next prime is 12782964263. The reversal of 12782964240 is 4246928721.

12782964240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12782964240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24535180 + ... + 24535700.

It is an arithmetic number, because the mean of its divisors is an integer number (142045596).

Almost surely, 2^12782964240 is an apocalyptic number.

12782964240 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 12782964240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727295360).

12782964240 is an abundant number, since it is smaller than the sum of its proper divisors (32671626480).

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

12782964240 is a wasteful number, since it uses less digits than its factorization.

12782964240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12782964240 in words is "twelve billion, seven hundred eighty-two million, nine hundred sixty-four thousand, two hundred forty".