26240761638 has 192 divisors, whose sum is σ = 76097024640. Its totient is φ = 6337253376.

The previous prime is 26240761609. The next prime is 26240761639. The reversal of 26240761638 is 83616704262.

26240761638 is a `hidden beast` number, since 2 + 6 + 2 + 4 + 0 + 7 + 6 + 1 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26240761593 and 26240761602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26240761639) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1017568 + ... + 1043036.

It is an arithmetic number, because the mean of its divisors is an integer number (396338670).

Almost surely, 2^26240761638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26240761638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38048512320).

26240761638 is an abundant number, since it is smaller than the sum of its proper divisors (49856263002).

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

26240761638 is a wasteful number, since it uses less digits than its factorization.

26240761638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25551 (or 25548 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26240761638 in words is "twenty-six billion, two hundred forty million, seven hundred sixty-one thousand, six hundred thirty-eight".