4816665600 has 264 divisors, whose sum is σ = 16204379520. Its totient is φ = 1261486080.

The previous prime is 4816665569. The next prime is 4816665611. The reversal of 4816665600 is 65666184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4530669 + ... + 4531731.

Almost surely, 2^4816665600 is an apocalyptic number.

4816665600 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 4816665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102189760).

4816665600 is an abundant number, since it is smaller than the sum of its proper divisors (11387713920).

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

4816665600 is a wasteful number, since it uses less digits than its factorization.

4816665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4816665600 is about 69402.2016941826. The cubic root of 4816665600 is about 1688.8153410057.

The spelling of 4816665600 in words is "four billion, eight hundred sixteen million, six hundred sixty-five thousand, six hundred".