4656000000 has 308 divisors, whose sum is σ = 15672143144. Its totient is φ = 1228800000.

The previous prime is 4655999981. The next prime is 4656000029. The reversal of 4656000000 is 6564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47999952 + ... + 48000048.

Almost surely, 2^4656000000 is an apocalyptic number.

4656000000 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 4656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836071572).

4656000000 is an abundant number, since it is smaller than the sum of its proper divisors (11016143144).

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

4656000000 is an frugal number, since it uses more digits than its factorization.

4656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4656000000 is about 68234.8884369279. Note that the first 3 decimals coincide. The cubic root of 4656000000 is about 1669.8251218267.

Adding to 4656000000 its reverse (6564), we get a palindrome (4656006564).

The spelling of 4656000000 in words is "four billion, six hundred fifty-six million", and thus it is an aban number.