12668376240 has 640 divisors, whose sum is σ = 49796812800. Its totient is φ = 2937876480.

The previous prime is 12668376233. The next prime is 12668376271. The reversal of 12668376240 is 4267386621.

12668376240 is a `hidden beast` number, since 1 + 266 + 83 + 76 + 240 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38272875 + ... + 38273205.

It is an arithmetic number, because the mean of its divisors is an integer number (77807520).

Almost surely, 2^12668376240 is an apocalyptic number.

12668376240 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 12668376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898406400).

12668376240 is an abundant number, since it is smaller than the sum of its proper divisors (37128436560).

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

12668376240 is a wasteful number, since it uses less digits than its factorization.

12668376240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12668376240 in words is "twelve billion, six hundred sixty-eight million, three hundred seventy-six thousand, two hundred forty".