4666989600 has 864 divisors, whose sum is σ = 21497374080. Its totient is φ = 924549120.

The previous prime is 4666989599. The next prime is 4666989629. The reversal of 4666989600 is 69896664.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11138191 + ... + 11138609.

It is an arithmetic number, because the mean of its divisors is an integer number (24881220).

Almost surely, 2^4666989600 is an apocalyptic number.

4666989600 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 4666989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748687040).

4666989600 is an abundant number, since it is smaller than the sum of its proper divisors (16830384480).

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

4666989600 is a wasteful number, since it uses less digits than its factorization.

4666989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 4666989600 is about 68315.3686954846. The cubic root of 4666989600 is about 1671.1378574565.

The spelling of 4666989600 in words is "four billion, six hundred sixty-six million, nine hundred eighty-nine thousand, six hundred".