26740081584 has 160 divisors (see below), whose sum is σ = 77880372480. Its totient is φ = 8892866880.

The previous prime is 26740081567. The next prime is 26740081597. The reversal of 26740081584 is 48518004762.

26740081584 is a `hidden beast` number, since 2 + 67 + 4 + 0 + 0 + 8 + 1 + 584 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27538219 + ... + 27539189.

It is an arithmetic number, because the mean of its divisors is an integer number (486752328).

Almost surely, 2^26740081584 is an apocalyptic number.

26740081584 is a gapful number since it is divisible by the number (24) 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 26740081584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38940186240).

26740081584 is an abundant number, since it is smaller than the sum of its proper divisors (51140290896).

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

26740081584 is an frugal number, since it uses more digits than its factorization.

26740081584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 26740081584 in words is "twenty-six billion, seven hundred forty million, eighty-one thousand, five hundred eighty-four".