66268566650880 has 1760 divisors, whose sum is σ = 267039930614688. Its totient is φ = 15582678220800.

The previous prime is 66268566650879. The next prime is 66268566650887. The reversal of 66268566650880 is 8805666586266.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66268566650799 and 66268566650808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66268566650887) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 383055298474 + ... + 383055298646.

Almost surely, 2^{66268566650880} is an apocalyptic number.

66268566650880 is a gapful number since it is divisible by the number (60) 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 66268566650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133519965307344).

66268566650880 is an abundant number, since it is smaller than the sum of its proper divisors (200771363963808).

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

66268566650880 is an frugal number, since it uses more digits than its factorization.

66268566650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 66268566650880 in words is "sixty-six trillion, two hundred sixty-eight billion, five hundred sixty-six million, six hundred fifty thousand, eight hundred eighty".