13876843680 has 288 divisors, whose sum is σ = 54274147200. Its totient is φ = 3162802176.

The previous prime is 13876843663. The next prime is 13876843697. The reversal of 13876843680 is 8634867831.

13876843680 is a `hidden beast` number, since 138 + 76 + 8 + 436 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13876843663) and next prime (13876843697).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3919351 + ... + 3922889.

It is an arithmetic number, because the mean of its divisors is an integer number (188451900).

Almost surely, 2^13876843680 is an apocalyptic number.

13876843680 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 13876843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27137073600).

13876843680 is an abundant number, since it is smaller than the sum of its proper divisors (40397303520).

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

13876843680 is a wasteful number, since it uses less digits than its factorization.

13876843680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13876843680 in words is "thirteen billion, eight hundred seventy-six million, eight hundred forty-three thousand, six hundred eighty".