4656800512 has 288 divisors, whose sum is σ = 12135473280. Its totient is φ = 1734082560.

The previous prime is 4656800503. The next prime is 4656800513. The reversal of 4656800512 is 2150086564.

It is not an unprimeable number, because it can be changed into a prime (4656800513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41210568 + ... + 41210680.

It is an arithmetic number, because the mean of its divisors is an integer number (42137060).

Almost surely, 2^4656800512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

4656800512 is an abundant number, since it is smaller than the sum of its proper divisors (7478672768).

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

4656800512 is a wasteful number, since it uses less digits than its factorization.

4656800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 4656800512 is about 68240.7540403826. The cubic root of 4656800512 is about 1669.9208147282.

The spelling of 4656800512 in words is "four billion, six hundred fifty-six million, eight hundred thousand, five hundred twelve".