13427616384 has 384 divisors, whose sum is σ = 49632710400. Its totient is φ = 3386769408.

The previous prime is 13427616373. The next prime is 13427616437. The reversal of 13427616384 is 48361672431.

13427616384 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 7 + 6 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13427616384³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2408352 + ... + 2413920.

It is an arithmetic number, because the mean of its divisors is an integer number (129251850).

Almost surely, 2^13427616384 is an apocalyptic number.

13427616384 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 13427616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816355200).

13427616384 is an abundant number, since it is smaller than the sum of its proper divisors (36205094016).

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

13427616384 is a wasteful number, since it uses less digits than its factorization.

13427616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5617 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13427616384 in words is "thirteen billion, four hundred twenty-seven million, six hundred sixteen thousand, three hundred eighty-four".