26468383260672 has 1020 divisors, whose sum is σ = 85536737469216. Its totient is φ = 8186851491840.

The previous prime is 26468383260661. The next prime is 26468383260673. The reversal of 26468383260672 is 27606238386462.

It is a happy number.

26468383260672 is a `hidden beast` number, since 2 + 6 + 468 + 3 + 83 + 26 + 0 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26468383260673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372794130397 + ... + 372794130467.

Almost surely, 2^{26468383260672} 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 26468383260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768368734608).

26468383260672 is an abundant number, since it is smaller than the sum of its proper divisors (59068354208544).

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

26468383260672 is an frugal number, since it uses more digits than its factorization.

26468383260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 26468383260672 in words is "twenty-six trillion, four hundred sixty-eight billion, three hundred eighty-three million, two hundred sixty thousand, six hundred seventy-two".