26644221886464 has 2688 divisors, whose sum is σ = 107004539285280. Its totient is φ = 6549481193472.

The previous prime is 26644221886459. The next prime is 26644221886487. The reversal of 26644221886464 is 46468812244662.

26644221886464 is a `hidden beast` number, since 2 + 6 + 6 + 442 + 2 + 188 + 6 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 258681765837 + ... + 258681765939.

Almost surely, 2^{26644221886464} is an apocalyptic number.

26644221886464 is a gapful number since it is divisible by the number (24) 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 26644221886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53502269642640).

26644221886464 is an abundant number, since it is smaller than the sum of its proper divisors (80360317398816).

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

26644221886464 is an equidigital number, since it uses as much as digits as its factorization.

26644221886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 145 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 63.

The spelling of 26644221886464 in words is "twenty-six trillion, six hundred forty-four billion, two hundred twenty-one million, eight hundred eighty-six thousand, four hundred sixty-four".