66618355200 has 480 divisors, whose sum is σ = 229137334272. Its totient is φ = 17043456000.

The previous prime is 66618355189. The next prime is 66618355207. The reversal of 66618355200 is 255381666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66618355207) 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, 227366254 + ... + 227366546.

Almost surely, 2^66618355200 is an apocalyptic number.

66618355200 is a gapful number since it is divisible by the number (60) 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 66618355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114568667136).

66618355200 is an abundant number, since it is smaller than the sum of its proper divisors (162518979072).

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

66618355200 is a wasteful number, since it uses less digits than its factorization.

66618355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 66618355200 in words is "sixty-six billion, six hundred eighteen million, three hundred fifty-five thousand, two hundred".