26666640000 has 1920 divisors, whose sum is σ = 132226174080. Its totient is φ = 4976640000.

The previous prime is 26666639969. The next prime is 26666640023. The reversal of 26666640000 is 4666662.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×26666640000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 720719982 + ... + 720720018.

It is an arithmetic number, because the mean of its divisors is an integer number (68867799).

Almost surely, 2^26666640000 is an apocalyptic number.

26666640000 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 26666640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66113087040).

26666640000 is an abundant number, since it is smaller than the sum of its proper divisors (105559534080).

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

26666640000 is a wasteful number, since it uses less digits than its factorization.

26666640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 26666 and 640000, that added together give a palindrome (666666).

The spelling of 26666640000 in words is "twenty-six billion, six hundred sixty-six million, six hundred forty thousand".