66768562975968 has 288 divisors, whose sum is σ = 235787119626240. Its totient is φ = 17489703306240.

The previous prime is 66768562975967. The next prime is 66768562975991. The reversal of 66768562975968 is 86957926586766.

It is a happy number.

66768562975968 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 8 + 5 + 6 + 2 + 9 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66768562975963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26927455 + ... + 29302302.

It is an arithmetic number, because the mean of its divisors is an integer number (818705276480).

Almost surely, 2^{66768562975968} is an apocalyptic number.

It is an amenable number.

66768562975968 is an abundant number, since it is smaller than the sum of its proper divisors (169018556650272).

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

66768562975968 is a wasteful number, since it uses less digits than its factorization.

66768562975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56229830 (or 56229819 counting only the distinct ones).

The product of its digits is 98761420800, while the sum is 90.

The spelling of 66768562975968 in words is "sixty-six trillion, seven hundred sixty-eight billion, five hundred sixty-two million, nine hundred seventy-five thousand, nine hundred sixty-eight".