4725948864 has 336 divisors, whose sum is σ = 16593177888. Its totient is φ = 1172570112.

The previous prime is 4725948863. The next prime is 4725948923. The reversal of 4725948864 is 4688495274.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725948863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078032 + ... + 2080304.

It is an arithmetic number, because the mean of its divisors is an integer number (49384458).

Almost surely, 2^4725948864 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 4725948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296588944).

4725948864 is an abundant number, since it is smaller than the sum of its proper divisors (11867229024).

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

4725948864 is a wasteful number, since it uses less digits than its factorization.

4725948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2315 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 4725948864 is about 68745.5370478695. The cubic root of 4725948864 is about 1678.1457319176.

The spelling of 4725948864 in words is "four billion, seven hundred twenty-five million, nine hundred forty-eight thousand, eight hundred sixty-four".