4741875600 has 960 divisors, whose sum is σ = 20753909760. Its totient is φ = 895795200.

The previous prime is 4741875583. The next prime is 4741875617. The reversal of 4741875600 is 65781474.

It is an interprime number because it is at equal distance from previous prime (4741875583) and next prime (4741875617).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64957164 + ... + 64957236.

It is an arithmetic number, because the mean of its divisors is an integer number (21618656).

Almost surely, 2^4741875600 is an apocalyptic number.

4741875600 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 4741875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376954880).

4741875600 is an abundant number, since it is smaller than the sum of its proper divisors (16012034160).

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

4741875600 is a wasteful number, since it uses less digits than its factorization.

4741875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4741875600 is about 68861.2779434132. The cubic root of 4741875600 is about 1680.0287693486.

The spelling of 4741875600 in words is "four billion, seven hundred forty-one million, eight hundred seventy-five thousand, six hundred".