12786182640 has 640 divisors, whose sum is σ = 55882137600. Its totient is φ = 2609832960.

The previous prime is 12786182623. The next prime is 12786182641. The reversal of 12786182640 is 4628168721.

12786182640 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 618 + 26 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12786182641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9812229 + ... + 9813531.

It is an arithmetic number, because the mean of its divisors is an integer number (87315840).

Almost surely, 2^12786182640 is an apocalyptic number.

12786182640 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 12786182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941068800).

12786182640 is an abundant number, since it is smaller than the sum of its proper divisors (43095954960).

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

12786182640 is a wasteful number, since it uses less digits than its factorization.

12786182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12786182640 in words is "twelve billion, seven hundred eighty-six million, one hundred eighty-two thousand, six hundred forty".