12747271680 has 960 divisors, whose sum is σ = 53567946432. Its totient is φ = 2760376320.

The previous prime is 12747271673. The next prime is 12747271751. The reversal of 12747271680 is 8617274721.

12747271680 is a `hidden beast` number, since 12 + 7 + 472 + 7 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×12747271680⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 174620124 + ... + 174620196.

Almost surely, 2^12747271680 is an apocalyptic number.

12747271680 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 12747271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26783973216).

12747271680 is an abundant number, since it is smaller than the sum of its proper divisors (40820674752).

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

12747271680 is a wasteful number, since it uses less digits than its factorization.

12747271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12747271680 in words is "twelve billion, seven hundred forty-seven million, two hundred seventy-one thousand, six hundred eighty".