26684148064 has 96 divisors (see below), whose sum is σ = 61211082240. Its totient is φ = 11213862912.

The previous prime is 26684148059. The next prime is 26684148091. The reversal of 26684148064 is 46084148662.

It is a junction number, because it is equal to n+sod(n) for n = 26684147999 and 26684148017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5720197 + ... + 5724859.

It is an arithmetic number, because the mean of its divisors is an integer number (637615440).

Almost surely, 2^26684148064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26684148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30605541120).

26684148064 is an abundant number, since it is smaller than the sum of its proper divisors (34526934176).

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

26684148064 is a wasteful number, since it uses less digits than its factorization.

26684148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 26684148064 in words is "twenty-six billion, six hundred eighty-four million, one hundred forty-eight thousand, sixty-four".