66624166224 has 480 divisors, whose sum is σ = 246145079040. Its totient is φ = 16879104000.

The previous prime is 66624166223. The next prime is 66624166249. The reversal of 66624166224 is 42266142666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66624166224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66624166223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14999844 + ... + 15004284.

It is an arithmetic number, because the mean of its divisors is an integer number (512802248).

Almost surely, 2^66624166224 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 66624166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123072539520).

66624166224 is an abundant number, since it is smaller than the sum of its proper divisors (179520912816).

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

66624166224 is a wasteful number, since it uses less digits than its factorization.

66624166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4505 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 66624166224 in words is "sixty-six billion, six hundred twenty-four million, one hundred sixty-six thousand, two hundred twenty-four".