4648665600 has 240 divisors, whose sum is σ = 17064131040. Its totient is φ = 1239552000.

The previous prime is 4648665599. The next prime is 4648665643. The reversal of 4648665600 is 65668464.

4648665600 is a `hidden beast` number, since 4 + 6 + 4 + 86 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4648665600² = 43220183721246720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338875 + ... + 352325.

It is an arithmetic number, because the mean of its divisors is an integer number (71100546).

Almost surely, 2^4648665600 is an apocalyptic number.

4648665600 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 4648665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532065520).

4648665600 is an abundant number, since it is smaller than the sum of its proper divisors (12415465440).

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

4648665600 is a wasteful number, since it uses less digits than its factorization.

4648665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13488 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4648665600 is about 68181.1234873700. The cubic root of 4648665600 is about 1668.9478593825.

The spelling of 4648665600 in words is "four billion, six hundred forty-eight million, six hundred sixty-five thousand, six hundred".