26741603146608 has 1440 divisors, whose sum is σ = 94747087798272. Its totient is φ = 7005964492800.

The previous prime is 26741603146607. The next prime is 26741603146627. The reversal of 26741603146608 is 80664130614762.

26741603146608 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 16 + 0 + 3 + 14 + 6 + 608 = 666.

It is a super-2 number, since 2×26741603146608² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26741603146607) 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 287 ways as a sum of consecutive naturals, for example, 60364792435 + ... + 60364792877.

Almost surely, 2^{26741603146608} is an apocalyptic number.

26741603146608 is a gapful number since it is divisible by the number (28) 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 26741603146608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47373543899136).

26741603146608 is an abundant number, since it is smaller than the sum of its proper divisors (68005484651664).

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

26741603146608 is a wasteful number, since it uses less digits than its factorization.

26741603146608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 26741603146608 in words is "twenty-six trillion, seven hundred forty-one billion, six hundred three million, one hundred forty-six thousand, six hundred eight".