13609382976 has 168 divisors, whose sum is σ = 44867576000. Its totient is φ = 3863448576.

The previous prime is 13609382953. The next prime is 13609382987. The reversal of 13609382976 is 67928390631.

13609382976 is a `hidden beast` number, since 1 + 3 + 609 + 3 + 8 + 29 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622275 + ... + 643773.

Almost surely, 2^13609382976 is an apocalyptic number.

13609382976 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 13609382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433788000).

13609382976 is an abundant number, since it is smaller than the sum of its proper divisors (31258193024).

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

13609382976 is a wasteful number, since it uses less digits than its factorization.

13609382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21681 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13609382976 in words is "thirteen billion, six hundred nine million, three hundred eighty-two thousand, nine hundred seventy-six".