66552542208 has 264 divisors, whose sum is σ = 204158527560. Its totient is φ = 20808990720.

The previous prime is 66552542207. The next prime is 66552542233. The reversal of 66552542208 is 80224525566.

It is a happy number.

66552542208 is a `hidden beast` number, since 6 + 65 + 525 + 42 + 20 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 458302464 + 66094239744 = 21408^2 + 257088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66552542207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65958408 + ... + 65959416.

Almost surely, 2^66552542208 is an apocalyptic number.

66552542208 is a gapful number since it is divisible by the number (68) 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 66552542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102079263780).

66552542208 is an abundant number, since it is smaller than the sum of its proper divisors (137605985352).

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

66552542208 is a wasteful number, since it uses less digits than its factorization.

66552542208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 66552542208 in words is "sixty-six billion, five hundred fifty-two million, five hundred forty-two thousand, two hundred eight".