26666634240 has 352 divisors, whose sum is σ = 98900559360. Its totient is φ = 6801113088.

The previous prime is 26666634227. The next prime is 26666634271. The reversal of 26666634240 is 4243666662.

It is a super-2 number, since 2×26666634240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 3175327 + ... + 3183713.

Almost surely, 2^26666634240 is an apocalyptic number.

26666634240 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 26666634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49450279680).

26666634240 is an abundant number, since it is smaller than the sum of its proper divisors (72233925120).

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

26666634240 is a wasteful number, since it uses less digits than its factorization.

26666634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 26666634240 in words is "twenty-six billion, six hundred sixty-six million, six hundred thirty-four thousand, two hundred forty".