4725048006 has 96 divisors (see below), whose sum is σ = 12181897728. Its totient is φ = 1344625920.

The previous prime is 4725047917. The next prime is 4725048007. The reversal of 4725048006 is 6008405274.

4725048006 is a `hidden beast` number, since 4 + 72 + 504 + 80 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892086 + ... + 897366.

It is an arithmetic number, because the mean of its divisors is an integer number (126894768).

Almost surely, 2^4725048006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4725048006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090948864).

4725048006 is an abundant number, since it is smaller than the sum of its proper divisors (7456849722).

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

4725048006 is a wasteful number, since it uses less digits than its factorization.

4725048006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4725048006 is about 68738.9846157186. The cubic root of 4725048006 is about 1678.0390960427.

The spelling of 4725048006 in words is "four billion, seven hundred twenty-five million, forty-eight thousand, six".