4652468000 has 96 divisors (see below), whose sum is σ = 11576597760. Its totient is φ = 1837305600.

The previous prime is 4652467997. The next prime is 4652468021. The reversal of 4652468000 is 8642564.

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 15 ways as a sum of consecutive naturals, for example, 308639 + ... + 323361.

It is an arithmetic number, because the mean of its divisors is an integer number (120589560).

Almost surely, 2^4652468000 is an apocalyptic number.

4652468000 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 4652468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788298880).

4652468000 is an abundant number, since it is smaller than the sum of its proper divisors (6924129760).

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

4652468000 is a wasteful number, since it uses less digits than its factorization.

4652468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4652468000 is about 68209.0023384011. The cubic root of 4652468000 is about 1669.4027768737.

The spelling of 4652468000 in words is "four billion, six hundred fifty-two million, four hundred sixty-eight thousand".