26742836736 has 960 divisors, whose sum is σ = 104791864320. Its totient is φ = 6358302720.

The previous prime is 26742836723. The next prime is 26742836761. The reversal of 26742836736 is 63763824762.

It is a super-2 number, since 2×26742836736² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 236662216 + ... + 236662328.

It is an arithmetic number, because the mean of its divisors is an integer number (109158192).

Almost surely, 2^26742836736 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 26742836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52395932160).

26742836736 is an abundant number, since it is smaller than the sum of its proper divisors (78049027584).

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

26742836736 is a wasteful number, since it uses less digits than its factorization.

26742836736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

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

The spelling of 26742836736 in words is "twenty-six billion, seven hundred forty-two million, eight hundred thirty-six thousand, seven hundred thirty-six".