4724868096 has 264 divisors, whose sum is σ = 14864904600. Its totient is φ = 1436811264.

The previous prime is 4724868059. The next prime is 4724868139. The reversal of 4724868096 is 6908684274.

4724868096 is a `hidden beast` number, since 4 + 72 + 486 + 8 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 4724637696 = 480^2 + 68736^2 .

It is an unprimeable number.

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, 13538130 + ... + 13538478.

Almost surely, 2^4724868096 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 4724868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432452300).

4724868096 is an abundant number, since it is smaller than the sum of its proper divisors (10140036504).

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

4724868096 is a wasteful number, since it uses less digits than its factorization.

4724868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4724868096 is about 68737.6759572216. The cubic root of 4724868096 is about 1678.0177982100.

The spelling of 4724868096 in words is "four billion, seven hundred twenty-four million, eight hundred sixty-eight thousand, ninety-six".