4643352000 has 896 divisors, whose sum is σ = 20236769280. Its totient is φ = 1020211200.

The previous prime is 4643351971. The next prime is 4643352011. The reversal of 4643352000 is 2533464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55943959 + ... + 55944041.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^4643352000 is an apocalyptic number.

4643352000 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 4643352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118384640).

4643352000 is an abundant number, since it is smaller than the sum of its proper divisors (15593417280).

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

4643352000 is a wasteful number, since it uses less digits than its factorization.

4643352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4643352000 is about 68142.1455488452. The cubic root of 4643352000 is about 1668.3117268431.

Adding to 4643352000 its reverse (2533464), we get a palindrome (4645885464).

The spelling of 4643352000 in words is "four billion, six hundred forty-three million, three hundred fifty-two thousand".