12794217367680 has 768 divisors, whose sum is σ = 52178548930560. Its totient is φ = 2826890772480.

The previous prime is 12794217367663. The next prime is 12794217367681. The reversal of 12794217367680 is 8676371249721.

12794217367680 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 421 + 73 + 67 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12794217367681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1221166602 + ... + 1221177078.

It is an arithmetic number, because the mean of its divisors is an integer number (67940818920).

Almost surely, 2^{12794217367680} is an apocalyptic number.

12794217367680 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 12794217367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26089274465280).

12794217367680 is an abundant number, since it is smaller than the sum of its proper divisors (39384331562880).

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

12794217367680 is a wasteful number, since it uses less digits than its factorization.

12794217367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 12794217367680 in words is "twelve trillion, seven hundred ninety-four billion, two hundred seventeen million, three hundred sixty-seven thousand, six hundred eighty".