4842698760 has 288 divisors, whose sum is σ = 16770499200. Its totient is φ = 1211485440.

The previous prime is 4842698717. The next prime is 4842698789. The reversal of 4842698760 is 678962484.

4842698760 is a `hidden beast` number, since 484 + 2 + 6 + 98 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4842698697 and 4842698706.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11235745 + ... + 11236175.

It is an arithmetic number, because the mean of its divisors is an integer number (58230900).

Almost surely, 2^4842698760 is an apocalyptic number.

4842698760 is a gapful number since it is divisible by the number (40) 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 4842698760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385249600).

4842698760 is an abundant number, since it is smaller than the sum of its proper divisors (11927800440).

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

4842698760 is a wasteful number, since it uses less digits than its factorization.

4842698760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

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

The square root of 4842698760 is about 69589.5017944517. The cubic root of 4842698760 is about 1691.8524509600.

The spelling of 4842698760 in words is "four billion, eight hundred forty-two million, six hundred ninety-eight thousand, seven hundred sixty".