4666161600 has 168 divisors, whose sum is σ = 17010044720. Its totient is φ = 1244298240.

The previous prime is 4666161587. The next prime is 4666161611. The reversal of 4666161600 is 61616664.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10807 + ... + 97206.

Almost surely, 2^4666161600 is an apocalyptic number.

4666161600 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 4666161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505022360).

4666161600 is an abundant number, since it is smaller than the sum of its proper divisors (12343883120).

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

4666161600 is a wasteful number, since it uses less digits than its factorization.

4666161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108044 (or 108023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4666161600 is about 68309.3082968932. The cubic root of 4666161600 is about 1671.0390225827.

The spelling of 4666161600 in words is "four billion, six hundred sixty-six million, one hundred sixty-one thousand, six hundred".