12773479680 has 594 divisors, whose sum is σ = 49696361694. Its totient is φ = 3144241152.

The previous prime is 12773479673. The next prime is 12773479711. The reversal of 12773479680 is 8697437721.

12773479680 is a `hidden beast` number, since 1 + 27 + 73 + 479 + 6 + 80 = 666.

12773479680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 60466176 + 12713013504 = 7776^2 + 112752^2 .

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

It is a congruent number.

It is an unprimeable number.

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 65 ways as a sum of consecutive naturals, for example, 982575354 + ... + 982575366.

Almost surely, 2^12773479680 is an apocalyptic number.

12773479680 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 12773479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848180847).

12773479680 is an abundant number, since it is smaller than the sum of its proper divisors (36922882014).

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

12773479680 is an frugal number, since it uses more digits than its factorization.

12773479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 12773479680 in words is "twelve billion, seven hundred seventy-three million, four hundred seventy-nine thousand, six hundred eighty".