66441064960 has 240 divisors, whose sum is σ = 168458146560. Its totient is φ = 25105489920.

The previous prime is 66441064957. The next prime is 66441064961. The reversal of 66441064960 is 6946014466.

It is a super-2 number, since 2×66441064960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66441064960.

It is not an unprimeable number, because it can be changed into a prime (66441064961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175306051 + ... + 175306429.

It is an arithmetic number, because the mean of its divisors is an integer number (701908944).

Almost surely, 2^66441064960 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 66441064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84229073280).

66441064960 is an abundant number, since it is smaller than the sum of its proper divisors (102017081600).

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

66441064960 is an equidigital number, since it uses as much as digits as its factorization.

66441064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 66441064960 in words is "sixty-six billion, four hundred forty-one million, sixty-four thousand, nine hundred sixty".