26739732564 has 72 divisors (see below), whose sum is σ = 70805891520. Its totient is φ = 8492470272.

The previous prime is 26739732563. The next prime is 26739732577. The reversal of 26739732564 is 46523793762.

26739732564 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 9 + 73 + 2 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26739732564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26739732563) 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 23 ways as a sum of consecutive naturals, for example, 149967 + ... + 275625.

It is an arithmetic number, because the mean of its divisors is an integer number (983415160).

Almost surely, 2^26739732564 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 26739732564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35402945760).

26739732564 is an abundant number, since it is smaller than the sum of its proper divisors (44066158956).

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

26739732564 is a wasteful number, since it uses less digits than its factorization.

26739732564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125949 (or 125944 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 26739732564 in words is "twenty-six billion, seven hundred thirty-nine million, seven hundred thirty-two thousand, five hundred sixty-four".