4724584704 has 162 divisors, whose sum is σ = 15846544350. Its totient is φ = 1349849088.

The previous prime is 4724584703. The next prime is 4724584717. The reversal of 4724584704 is 4074854274.

4724584704 is a `hidden beast` number, since 47 + 24 + 584 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4515840000 + 208744704 = 67200^2 + 14448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4724584704.

It is not an unprimeable number, because it can be changed into a prime (4724584703) 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 17 ways as a sum of consecutive naturals, for example, 91972 + ... + 133820.

It is an arithmetic number, because the mean of its divisors is an integer number (97818175).

Almost surely, 2^4724584704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4724584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923272175).

4724584704 is an abundant number, since it is smaller than the sum of its proper divisors (11121959646).

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

4724584704 is a wasteful number, since it uses less digits than its factorization.

4724584704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41885 (or 41861 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 4724584704 is about 68735.6145240588. The cubic root of 4724584704 is about 1677.9842490316.

The spelling of 4724584704 in words is "four billion, seven hundred twenty-four million, five hundred eighty-four thousand, seven hundred four".