26667676662 has 96 divisors (see below), whose sum is σ = 59397144576. Its totient is φ = 7975376640.

The previous prime is 26667676657. The next prime is 26667676663.

26667676662 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×26667676662² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26667676596 and 26667676605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26667676663) 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 47 ways as a sum of consecutive naturals, for example, 20560398 + ... + 20561694.

It is an arithmetic number, because the mean of its divisors is an integer number (618720256).

Almost surely, 2^26667676662 is an apocalyptic number.

26667676662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26667676662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698572288).

26667676662 is an abundant number, since it is smaller than the sum of its proper divisors (32729467914).

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

26667676662 is a wasteful number, since it uses less digits than its factorization.

26667676662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1663 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 60.

The spelling of 26667676662 in words is "twenty-six billion, six hundred sixty-seven million, six hundred seventy-six thousand, six hundred sixty-two".