12763668960 has 720 divisors, whose sum is σ = 53184146400. Its totient is φ = 2874009600.

The previous prime is 12763668947. The next prime is 12763668971. The reversal of 12763668960 is 6986636721.

12763668960 is a `hidden beast` number, since 1 + 276 + 366 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12763668960² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12763668897 and 12763668906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64138941 + ... + 64139139.

It is an arithmetic number, because the mean of its divisors is an integer number (73866870).

Almost surely, 2^12763668960 is an apocalyptic number.

12763668960 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 12763668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26592073200).

12763668960 is an abundant number, since it is smaller than the sum of its proper divisors (40420477440).

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

12763668960 is a wasteful number, since it uses less digits than its factorization.

12763668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12763668960 in words is "twelve billion, seven hundred sixty-three million, six hundred sixty-eight thousand, nine hundred sixty".