13063272768 has 504 divisors, whose sum is σ = 48824692800. Its totient is φ = 3260694528.

The previous prime is 13063272721. The next prime is 13063272779. The reversal of 13063272768 is 86727236031.

13063272768 is a `hidden beast` number, since 1 + 3 + 0 + 632 + 7 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×13063272768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12946248 + ... + 12947256.

Almost surely, 2^13063272768 is an apocalyptic number.

13063272768 is a gapful number since it is divisible by the number (18) 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 13063272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412346400).

13063272768 is an abundant number, since it is smaller than the sum of its proper divisors (35761420032).

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

13063272768 is a wasteful number, since it uses less digits than its factorization.

13063272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13063272768 in words is "thirteen billion, sixty-three million, two hundred seventy-two thousand, seven hundred sixty-eight".