66268905912 has 384 divisors, whose sum is σ = 211945144320. Its totient is φ = 18482688000.

The previous prime is 66268905853. The next prime is 66268905919. The reversal of 66268905912 is 21950986266.

It is a happy number.

66268905912 is a `hidden beast` number, since 6 + 626 + 8 + 9 + 0 + 5 + 9 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66268905919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173025673 + ... + 173026055.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 2^66268905912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66268905912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105972572160).

66268905912 is an abundant number, since it is smaller than the sum of its proper divisors (145676238408).

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

66268905912 is a wasteful number, since it uses less digits than its factorization.

66268905912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 66268905912 in words is "sixty-six billion, two hundred sixty-eight million, nine hundred five thousand, nine hundred twelve".