13727563776 has 216 divisors, whose sum is σ = 41221462464. Its totient is φ = 4565237760.

The previous prime is 13727563771. The next prime is 13727563781. The reversal of 13727563776 is 67736572731.

13727563776 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 7 + 563 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (13727563771) and next prime (13727563781).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (13727563771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850281 + ... + 31850711.

It is an arithmetic number, because the mean of its divisors is an integer number (190840104).

Almost surely, 2^13727563776 is an apocalyptic number.

13727563776 is a gapful number since it is divisible by the number (16) 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 13727563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610731232).

13727563776 is an abundant number, since it is smaller than the sum of its proper divisors (27493898688).

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

13727563776 is an frugal number, since it uses more digits than its factorization.

13727563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 436 counting only the distinct ones).

The product of its digits is 7779240, while the sum is 54.

The spelling of 13727563776 in words is "thirteen billion, seven hundred twenty-seven million, five hundred sixty-three thousand, seven hundred seventy-six".