66680160768 has 320 divisors, whose sum is σ = 219435955200. Its totient is φ = 19853475840.

The previous prime is 66680160733. The next prime is 66680160863. The reversal of 66680160768 is 86706108666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5565088 + ... + 5577056.

It is an arithmetic number, because the mean of its divisors is an integer number (685737360).

Almost surely, 2^66680160768 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 66680160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109717977600).

66680160768 is an abundant number, since it is smaller than the sum of its proper divisors (152755794432).

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

66680160768 is a wasteful number, since it uses less digits than its factorization.

66680160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 66680160768 in words is "sixty-six billion, six hundred eighty million, one hundred sixty thousand, seven hundred sixty-eight".