66026241338624 has 288 divisors, whose sum is σ = 156143275948800. Its totient is φ = 27275269570560.

The previous prime is 66026241338579. The next prime is 66026241338683. The reversal of 66026241338624 is 42683314262066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192593564 + ... + 3192614244.

It is an arithmetic number, because the mean of its divisors is an integer number (542164152600).

Almost surely, 2^{66026241338624} is an apocalyptic number.

66026241338624 is a gapful number since it is divisible by the number (64) 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 66026241338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78071637974400).

66026241338624 is an abundant number, since it is smaller than the sum of its proper divisors (90117034610176).

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

66026241338624 is a wasteful number, since it uses less digits than its factorization.

66026241338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21189 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 53.

The spelling of 66026241338624 in words is "sixty-six trillion, twenty-six billion, two hundred forty-one million, three hundred thirty-eight thousand, six hundred twenty-four".