13676196960 has 288 divisors, whose sum is σ = 49314152160. Its totient is φ = 3441844224.

The previous prime is 13676196949. The next prime is 13676196967. The reversal of 13676196960 is 6969167631.

13676196960 is a `hidden beast` number, since 1 + 367 + 6 + 196 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13676196897 and 13676196906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676196967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8562882 + ... + 8564478.

It is an arithmetic number, because the mean of its divisors is an integer number (171229695).

Almost surely, 2^13676196960 is an apocalyptic number.

13676196960 is a gapful number since it is divisible by the number (10) 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 13676196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657076080).

13676196960 is an abundant number, since it is smaller than the sum of its proper divisors (35637955200).

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

13676196960 is a wasteful number, since it uses less digits than its factorization.

13676196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13676196960 in words is "thirteen billion, six hundred seventy-six million, one hundred ninety-six thousand, nine hundred sixty".