26786432736 has 144 divisors (see below), whose sum is σ = 87171686784. Its totient is φ = 7643089152.

The previous prime is 26786432681. The next prime is 26786432809. The reversal of 26786432736 is 63723468762.

26786432736 is a `hidden beast` number, since 2 + 67 + 86 + 432 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578151 + ... + 1595033.

It is an arithmetic number, because the mean of its divisors is an integer number (605358936).

Almost surely, 2^26786432736 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 26786432736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585843392).

26786432736 is an abundant number, since it is smaller than the sum of its proper divisors (60385254048).

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

26786432736 is a wasteful number, since it uses less digits than its factorization.

26786432736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17693 (or 17682 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 26786432736 in words is "twenty-six billion, seven hundred eighty-six million, four hundred thirty-two thousand, seven hundred thirty-six".