26666933335680 has 768 divisors, whose sum is σ = 97241489210880. Its totient is φ = 6164100096000.

The previous prime is 26666933335673. The next prime is 26666933335729. The reversal of 26666933335680 is 8653333966662.

It is a super-2 number, since 2×26666933335680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3698087275 + ... + 3698094485.

It is an arithmetic number, because the mean of its divisors is an integer number (126616522410).

Almost surely, 2^{26666933335680} is an apocalyptic number.

26666933335680 is a gapful number since it is divisible by the number (20) 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 26666933335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48620744605440).

26666933335680 is an abundant number, since it is smaller than the sum of its proper divisors (70574555875200).

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

26666933335680 is a wasteful number, since it uses less digits than its factorization.

26666933335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 66.

The spelling of 26666933335680 in words is "twenty-six trillion, six hundred sixty-six billion, nine hundred thirty-three million, three hundred thirty-five thousand, six hundred eighty".