26966238768 has 480 divisors, whose sum is σ = 93579566080. Its totient is φ = 7356718080.

The previous prime is 26966238757. The next prime is 26966238791. The reversal of 26966238768 is 86783266962.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (62705664) is a multiple of the sum of its prime factors (567).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61426293 + ... + 61426731.

Almost surely, 2^26966238768 is an apocalyptic number.

26966238768 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 26966238768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789783040).

26966238768 is an abundant number, since it is smaller than the sum of its proper divisors (66613327312).

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

26966238768 is a wasteful number, since it uses less digits than its factorization.

26966238768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 26966238768 in words is "twenty-six billion, nine hundred sixty-six million, two hundred thirty-eight thousand, seven hundred sixty-eight".