4845758688 has 96 divisors (see below), whose sum is σ = 14327258400. Its totient is φ = 1593105408.

The previous prime is 4845758663. The next prime is 4845758713. The reversal of 4845758688 is 8868575484.

4845758688 is a `hidden beast` number, since 4 + 8 + 45 + 7 + 586 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4845758663) and next prime (4845758713).

It is a tau number, because it is divible by the number of its divisors (96).

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, 24658 + ... + 101486.

It is an arithmetic number, because the mean of its divisors is an integer number (149242275).

Almost surely, 2^4845758688 is an apocalyptic number.

4845758688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4845758688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163629200).

4845758688 is an abundant number, since it is smaller than the sum of its proper divisors (9481499712).

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

4845758688 is a wasteful number, since it uses less digits than its factorization.

4845758688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76921 (or 76907 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The square root of 4845758688 is about 69611.4838801760. The cubic root of 4845758688 is about 1692.2087162678.

The spelling of 4845758688 in words is "four billion, eight hundred forty-five million, seven hundred fifty-eight thousand, six hundred eighty-eight".