66331305216 has 576 divisors, whose sum is σ = 226473891840. Its totient is φ = 18953256960.

The previous prime is 66331305197. The next prime is 66331305269. The reversal of 66331305216 is 61250313366.

66331305216 is a `hidden beast` number, since 6 + 6 + 331 + 305 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 145144860 + ... + 145145316.

It is an arithmetic number, because the mean of its divisors is an integer number (393183840).

Almost surely, 2^66331305216 is an apocalyptic number.

66331305216 is a gapful number since it is divisible by the number (66) 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 66331305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113236945920).

66331305216 is an abundant number, since it is smaller than the sum of its proper divisors (160142586624).

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

66331305216 is a wasteful number, since it uses less digits than its factorization.

66331305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 66331305216 in words is "sixty-six billion, three hundred thirty-one million, three hundred five thousand, two hundred sixteen".