4721825952 has 144 divisors (see below), whose sum is σ = 13633401600. Its totient is φ = 1550016000.

The previous prime is 4721825947. The next prime is 4721825959. The reversal of 4721825952 is 2595281274.

4721825952 is a `hidden beast` number, since 47 + 2 + 18 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4721825898 and 4721825907.

It is not an unprimeable number, because it can be changed into a prime (4721825959) 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 23 ways as a sum of consecutive naturals, for example, 7882549 + ... + 7883147.

It is an arithmetic number, because the mean of its divisors is an integer number (94676400).

Almost surely, 2^4721825952 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 4721825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816700800).

4721825952 is an abundant number, since it is smaller than the sum of its proper divisors (8911575648).

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

4721825952 is a wasteful number, since it uses less digits than its factorization.

4721825952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 4721825952 is about 68715.5437437557. The cubic root of 4721825952 is about 1677.6575858437.

The spelling of 4721825952 in words is "four billion, seven hundred twenty-one million, eight hundred twenty-five thousand, nine hundred fifty-two".