12662407296 has 768 divisors, whose sum is σ = 50042603520. Its totient is φ = 3085516800.

The previous prime is 12662407283. The next prime is 12662407309. The reversal of 12662407296 is 69270426621.

12662407296 is a `hidden beast` number, since 12 + 6 + 624 + 0 + 7 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12662407283) and next prime (12662407309).

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 95 ways as a sum of consecutive naturals, for example, 40714981 + ... + 40715291.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^12662407296 is an apocalyptic number.

12662407296 is a gapful number since it is divisible by the number (16) 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 12662407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021301760).

12662407296 is an abundant number, since it is smaller than the sum of its proper divisors (37380196224).

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

12662407296 is a wasteful number, since it uses less digits than its factorization.

12662407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12662407296 in words is "twelve billion, six hundred sixty-two million, four hundred seven thousand, two hundred ninety-six".