4745952000 has 360 divisors, whose sum is σ = 17670805152. Its totient is φ = 1264896000.

The previous prime is 4745951911. The next prime is 4745952017. The reversal of 4745952000 is 2595474.

4745952000 is a `hidden beast` number, since 47 + 4 + 595 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591085 + ... + 2592915.

Almost surely, 2^4745952000 is an apocalyptic number.

4745952000 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 4745952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835402576).

4745952000 is an abundant number, since it is smaller than the sum of its proper divisors (12924853152).

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

4745952000 is an equidigital number, since it uses as much as digits as its factorization.

4745952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4745952000 is about 68890.8702224032. The cubic root of 4745952000 is about 1680.5100492147.

The spelling of 4745952000 in words is "four billion, seven hundred forty-five million, nine hundred fifty-two thousand".