66344092564608 has 384 divisors, whose sum is σ = 198513305303040. Its totient is φ = 22055541580800.

The previous prime is 66344092564583. The next prime is 66344092564609. The reversal of 66344092564608 is 80646529044366.

66344092564608 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 4 + 0 + 9 + 2 + 564 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (66344092564609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22980286941 + ... + 22980289827.

It is an arithmetic number, because the mean of its divisors is an integer number (516961732560).

Almost surely, 2^{66344092564608} 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 66344092564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99256652651520).

66344092564608 is an abundant number, since it is smaller than the sum of its proper divisors (132169212738432).

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

66344092564608 is an equidigital number, since it uses as much as digits as its factorization.

66344092564608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 66344092564608 in words is "sixty-six trillion, three hundred forty-four billion, ninety-two million, five hundred sixty-four thousand, six hundred eight".