4688824704 has 128 divisors (see below), whose sum is σ = 12836071680. Its totient is φ = 1515386880.

The previous prime is 4688824697. The next prime is 4688824711. The reversal of 4688824704 is 4074288864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4688824697) and next prime (4688824711).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7430469 + ... + 7431099.

It is an arithmetic number, because the mean of its divisors is an integer number (100281810).

Almost surely, 2^4688824704 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 4688824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418035840).

4688824704 is an abundant number, since it is smaller than the sum of its proper divisors (8147246976).

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

4688824704 is a wasteful number, since it uses less digits than its factorization.

4688824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The square root of 4688824704 is about 68474.9932749175. The cubic root of 4688824704 is about 1673.7400137800.

The spelling of 4688824704 in words is "four billion, six hundred eighty-eight million, eight hundred twenty-four thousand, seven hundred four".