4875723216 has 480 divisors, whose sum is σ = 18231333120. Its totient is φ = 1179795456.

The previous prime is 4875723197. The next prime is 4875723269. The reversal of 4875723216 is 6123275784.

4875723216 is a `hidden beast` number, since 48 + 7 + 572 + 32 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9578770 + ... + 9579278.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 2^4875723216 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 4875723216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115666560).

4875723216 is an abundant number, since it is smaller than the sum of its proper divisors (13355609904).

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

4875723216 is a wasteful number, since it uses less digits than its factorization.

4875723216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4875723216 is about 69826.3790841255. The cubic root of 4875723216 is about 1695.6895661944.

The spelling of 4875723216 in words is "four billion, eight hundred seventy-five million, seven hundred twenty-three thousand, two hundred sixteen".