4657312000 has 288 divisors, whose sum is σ = 12879554688. Its totient is φ = 1664000000.

The previous prime is 4657311991. The next prime is 4657312031. The reversal of 4657312000 is 2137564.

It is a self number, because there is not a number n which added to its sum of digits gives 4657312000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35551935 + ... + 35552065.

It is an arithmetic number, because the mean of its divisors is an integer number (44720676).

Almost surely, 2^4657312000 is an apocalyptic number.

4657312000 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 4657312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439777344).

4657312000 is an abundant number, since it is smaller than the sum of its proper divisors (8222242688).

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

4657312000 is a wasteful number, since it uses less digits than its factorization.

4657312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 4657312000 is about 68244.5016100198. The cubic root of 4657312000 is about 1669.9819520681.

Adding to 4657312000 its reverse (2137564), we get a palindrome (4659449564).

The spelling of 4657312000 in words is "four billion, six hundred fifty-seven million, three hundred twelve thousand".