66080771291808 has 288 divisors, whose sum is σ = 233667066237696. Its totient is φ = 17248226033664.

The previous prime is 66080771291803. The next prime is 66080771291819. The reversal of 66080771291808 is 80819217708066.

66080771291808 is a `hidden beast` number, since 6 + 608 + 0 + 7 + 7 + 1 + 2 + 9 + 18 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66080771291803) 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, 10454716 + ... + 15539067.

It is an arithmetic number, because the mean of its divisors is an integer number (811343979992).

Almost surely, 2^{66080771291808} is an apocalyptic number.

It is an amenable number.

66080771291808 is an abundant number, since it is smaller than the sum of its proper divisors (167586294945888).

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

66080771291808 is a wasteful number, since it uses less digits than its factorization.

66080771291808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25993916 (or 25993905 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 66080771291808 in words is "sixty-six trillion, eighty billion, seven hundred seventy-one million, two hundred ninety-one thousand, eight hundred eight".