26844248340 has 768 divisors, whose sum is σ = 107296358400. Its totient is φ = 5421717504.

The previous prime is 26844248339. The next prime is 26844248369. The reversal of 26844248340 is 4384244862.

26844248340 is a `hidden beast` number, since 2 + 68 + 4 + 4 + 248 + 340 = 666.

It is a super-2 number, since 2×26844248340² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136265122 + ... + 136265318.

It is an arithmetic number, because the mean of its divisors is an integer number (139708800).

Almost surely, 2^26844248340 is an apocalyptic number.

26844248340 is a gapful number since it is divisible by the number (20) 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 26844248340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53648179200).

26844248340 is an abundant number, since it is smaller than the sum of its proper divisors (80452110060).

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

26844248340 is a wasteful number, since it uses less digits than its factorization.

26844248340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 26844248340 in words is "twenty-six billion, eight hundred forty-four million, two hundred forty-eight thousand, three hundred forty".