13727304771264 has 672 divisors, whose sum is σ = 47753493926400. Its totient is φ = 3787857561600.

The previous prime is 13727304771239. The next prime is 13727304771283. The reversal of 13727304771264 is 46217740372731.

13727304771264 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 7 + 304 + 7 + 71 + 264 = 666.

13727304771264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13727304771264.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8032360042 + ... + 8032361750.

Almost surely, 2^{13727304771264} is an apocalyptic number.

13727304771264 is a gapful number since it is divisible by the number (14) 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 13727304771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876746963200).

13727304771264 is an abundant number, since it is smaller than the sum of its proper divisors (34026189155136).

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

13727304771264 is a wasteful number, since it uses less digits than its factorization.

13727304771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 13727304771264 in words is "thirteen trillion, seven hundred twenty-seven billion, three hundred four million, seven hundred seventy-one thousand, two hundred sixty-four".