12747802446720 has 2560 divisors, whose sum is σ = 56232837619200. Its totient is φ = 2711751229440.

The previous prime is 12747802446671. The next prime is 12747802446727. The reversal of 12747802446720 is 2764420874721.

12747802446720 is a `hidden beast` number, since 1 + 2 + 74 + 78 + 0 + 24 + 467 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12747802446727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12340563324 + ... + 12340564356.

It is an arithmetic number, because the mean of its divisors is an integer number (21965952195).

Almost surely, 2^{12747802446720} is an apocalyptic number.

12747802446720 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 12747802446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116418809600).

12747802446720 is an abundant number, since it is smaller than the sum of its proper divisors (43485035172480).

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

12747802446720 is a wasteful number, since it uses less digits than its factorization.

12747802446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 12747802446720 in words is "twelve trillion, seven hundred forty-seven billion, eight hundred two million, four hundred forty-six thousand, seven hundred twenty".