4660000200 has 192 divisors, whose sum is σ = 16170840000. Its totient is φ = 1233400320.

The previous prime is 4660000157. The next prime is 4660000207. The reversal of 4660000200 is 20000664.

4660000200 is a `hidden beast` number, since 4 + 660 + 0 + 0 + 0 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4660000207) 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, 736651 + ... + 742949.

It is an arithmetic number, because the mean of its divisors is an integer number (84223125).

Almost surely, 2^4660000200 is an apocalyptic number.

4660000200 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 4660000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085420000).

4660000200 is an abundant number, since it is smaller than the sum of its proper divisors (11510839800).

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

4660000200 is a wasteful number, since it uses less digits than its factorization.

4660000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4660000200 is about 68264.1941284009. The cubic root of 4660000200 is about 1670.3031947384.

Adding to 4660000200 its reverse (20000664), we get a palindrome (4680000864).

The spelling of 4660000200 in words is "four billion, six hundred sixty million, two hundred", and thus it is an aban number.