66220675200 has 480 divisors, whose sum is σ = 245343532500. Its totient is φ = 17588551680.

The previous prime is 66220675189. The next prime is 66220675207. The reversal of 66220675200 is 257602266.

66220675200 is a `hidden beast` number, since 6 + 622 + 0 + 6 + 7 + 5 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16112748096 + 50107927104 = 126936^2 + 223848^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66220675207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116380516 + ... + 116381084.

Almost surely, 2^66220675200 is an apocalyptic number.

66220675200 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 66220675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122671766250).

66220675200 is an abundant number, since it is smaller than the sum of its proper divisors (179122857300).

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

66220675200 is a wasteful number, since it uses less digits than its factorization.

66220675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 66220675200 in words is "sixty-six billion, two hundred twenty million, six hundred seventy-five thousand, two hundred".