4657856000 has 320 divisors, whose sum is σ = 13681160064. Its totient is φ = 1548288000.

The previous prime is 4657855999. The next prime is 4657856003. The reversal of 4657856000 is 6587564.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657856003) 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, 16575860 + ... + 16576140.

Almost surely, 2^4657856000 is an apocalyptic number.

4657856000 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 4657856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840580032).

4657856000 is an abundant number, since it is smaller than the sum of its proper divisors (9023304064).

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

4657856000 is an equidigital number, since it uses as much as digits as its factorization.

4657856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 4657856000 is about 68248.4871627203. The cubic root of 4657856000 is about 1670.0469706033.

The spelling of 4657856000 in words is "four billion, six hundred fifty-seven million, eight hundred fifty-six thousand".