66245594688 has 672 divisors, whose sum is σ = 247316670720. Its totient is φ = 17447851008.

The previous prime is 66245594687. The next prime is 66245594699. The reversal of 66245594688 is 88649554266.

66245594688 is a `hidden beast` number, since 6 + 62 + 455 + 9 + 46 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (99532800) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (66245594687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89159245 + ... + 89159987.

It is an arithmetic number, because the mean of its divisors is an integer number (368030760).

Almost surely, 2^66245594688 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 66245594688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123658335360).

66245594688 is an abundant number, since it is smaller than the sum of its proper divisors (181071076032).

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

66245594688 is an equidigital number, since it uses as much as digits as its factorization.

66245594688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 768 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 66245594688 in words is "sixty-six billion, two hundred forty-five million, five hundred ninety-four thousand, six hundred eighty-eight".