66935930880 has 960 divisors, whose sum is σ = 273745479168. Its totient is φ = 13589544960.

The previous prime is 66935930843. The next prime is 66935930891. The reversal of 66935930880 is 8803953966.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 66935930880.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 916930524 + ... + 916930596.

Almost surely, 2^66935930880 is an apocalyptic number.

66935930880 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 66935930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136872739584).

66935930880 is an abundant number, since it is smaller than the sum of its proper divisors (206809548288).

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

66935930880 is a wasteful number, since it uses less digits than its factorization.

66935930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 66935930880 in words is "sixty-six billion, nine hundred thirty-five million, nine hundred thirty thousand, eight hundred eighty".