4748133600 has 576 divisors, whose sum is σ = 20278702080. Its totient is φ = 1049241600.

The previous prime is 4748133589. The next prime is 4748133601. The reversal of 4748133600 is 63318474.

4748133600 is a `hidden beast` number, since 4 + 7 + 48 + 1 + 3 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748133601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686694 + ... + 4687706.

It is an arithmetic number, because the mean of its divisors is an integer number (35206080).

Almost surely, 2^4748133600 is an apocalyptic number.

4748133600 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 4748133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139351040).

4748133600 is an abundant number, since it is smaller than the sum of its proper divisors (15530568480).

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

4748133600 is a wasteful number, since it uses less digits than its factorization.

4748133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4748133600 is about 68906.7021413737. The cubic root of 4748133600 is about 1680.7675064548.

The spelling of 4748133600 in words is "four billion, seven hundred forty-eight million, one hundred thirty-three thousand, six hundred".