4066675200 has 720 divisors, whose sum is σ = 17485279680. Its totient is φ = 906854400.

The previous prime is 4066675199. The next prime is 4066675219. The reversal of 4066675200 is 25766604.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99187180 + ... + 99187220.

Almost surely, 2^4066675200 is an apocalyptic number.

4066675200 is a gapful number since it is divisible by the number (40) 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 4066675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742639840).

4066675200 is an abundant number, since it is smaller than the sum of its proper divisors (13418604480).

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

4066675200 is an equidigital number, since it uses as much as digits as its factorization.

4066675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

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

The square root of 4066675200 is about 63770.4884723333. The cubic root of 4066675200 is about 1596.1725179558.

The spelling of 4066675200 in words is "four billion, sixty-six million, six hundred seventy-five thousand, two hundred".