66585214080 has 960 divisors, whose sum is σ = 301883345280. Its totient is φ = 13830082560.

The previous prime is 66585214039. The next prime is 66585214081. The reversal of 66585214080 is 8041258566.

66585214080 is a `hidden beast` number, since 6 + 6 + 5 + 8 + 521 + 40 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66585214081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27940569 + ... + 27942951.

It is an arithmetic number, because the mean of its divisors is an integer number (314461818).

Almost surely, 2^66585214080 is an apocalyptic number.

66585214080 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 66585214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150941672640).

66585214080 is an abundant number, since it is smaller than the sum of its proper divisors (235298131200).

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

66585214080 is a wasteful number, since it uses less digits than its factorization.

66585214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 66585214080 in words is "sixty-six billion, five hundred eighty-five million, two hundred fourteen thousand, eighty".