66464614944 has 576 divisors, whose sum is σ = 247731644160. Its totient is φ = 16403005440.

The previous prime is 66464614943. The next prime is 66464614949. The reversal of 66464614944 is 44941646466.

66464614944 is a `hidden beast` number, since 66 + 46 + 461 + 49 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66464614943) 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, 107373867 + ... + 107374485.

It is an arithmetic number, because the mean of its divisors is an integer number (430089660).

Almost surely, 2^66464614944 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 66464614944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123865822080).

66464614944 is an abundant number, since it is smaller than the sum of its proper divisors (181267029216).

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

66464614944 is a wasteful number, since it uses less digits than its factorization.

66464614944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 66464614944 in words is "sixty-six billion, four hundred sixty-four million, six hundred fourteen thousand, nine hundred forty-four".