4608660000 has 240 divisors, whose sum is σ = 17278519104. Its totient is φ = 1053312000.

The previous prime is 4608659941. The next prime is 4608660031. The reversal of 4608660000 is 668064.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4608660000.

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 39 ways as a sum of consecutive naturals, for example, 414514 + ... + 425486.

Almost surely, 2^4608660000 is an apocalyptic number.

4608660000 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 4608660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639259552).

4608660000 is an abundant number, since it is smaller than the sum of its proper divisors (12669859104).

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

4608660000 is a wasteful number, since it uses less digits than its factorization.

4608660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4608660000 is about 67887.1121789696. The cubic root of 4608660000 is about 1664.1465022948.

The spelling of 4608660000 in words is "four billion, six hundred eight million, six hundred sixty thousand".