13876076682 has 64 divisors (see below), whose sum is σ = 33267024000. Its totient is φ = 4261935744.

The previous prime is 13876076681. The next prime is 13876076693. The reversal of 13876076682 is 28667067831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13876076681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382069 + ... + 416807.

It is an arithmetic number, because the mean of its divisors is an integer number (519797250).

Almost surely, 2^13876076682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876076682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633512000).

13876076682 is an abundant number, since it is smaller than the sum of its proper divisors (19390947318).

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

13876076682 is a wasteful number, since it uses less digits than its factorization.

13876076682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35332 (or 35326 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13876076682 in words is "thirteen billion, eight hundred seventy-six million, seventy-six thousand, six hundred eighty-two".