12662824680 has 384 divisors, whose sum is σ = 48158323200. Its totient is φ = 2851430400.

The previous prime is 12662824679. The next prime is 12662824709. The reversal of 12662824680 is 8642826621.

12662824680 is a `hidden beast` number, since 12 + 6 + 628 + 2 + 4 + 6 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5317090 + ... + 5319470.

It is an arithmetic number, because the mean of its divisors is an integer number (125412300).

Almost surely, 2^12662824680 is an apocalyptic number.

12662824680 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 12662824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079161600).

12662824680 is an abundant number, since it is smaller than the sum of its proper divisors (35495498520).

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

12662824680 is a wasteful number, since it uses less digits than its factorization.

12662824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12662824680 in words is "twelve billion, six hundred sixty-two million, eight hundred twenty-four thousand, six hundred eighty".