13876321680 has 640 divisors, whose sum is σ = 55996416000. Its totient is φ = 3127818240.

The previous prime is 13876321673. The next prime is 13876321681. The reversal of 13876321680 is 8612367831.

13876321680 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 632 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13876321681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16538701 + ... + 16539539.

It is an arithmetic number, because the mean of its divisors is an integer number (87494400).

Almost surely, 2^13876321680 is an apocalyptic number.

13876321680 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 13876321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208000).

13876321680 is an abundant number, since it is smaller than the sum of its proper divisors (42120094320).

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

13876321680 is a wasteful number, since it uses less digits than its factorization.

13876321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13876321680 in words is "thirteen billion, eight hundred seventy-six million, three hundred twenty-one thousand, six hundred eighty".