4842706176 has 504 divisors, whose sum is σ = 18122954304. Its totient is φ = 1254113280.

The previous prime is 4842706171. The next prime is 4842706177. The reversal of 4842706176 is 6716072484.

4842706176 is a `hidden beast` number, since 4 + 8 + 4 + 27 + 0 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842706171) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 14369880 + ... + 14370216.

Almost surely, 2^4842706176 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 4842706176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061477152).

4842706176 is an abundant number, since it is smaller than the sum of its proper divisors (13280248128).

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

4842706176 is an equidigital number, since it uses as much as digits as its factorization.

4842706176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4842706176 is about 69589.5550783305. Note that the first 3 decimals coincide. The cubic root of 4842706176 is about 1691.8533145811.

The spelling of 4842706176 in words is "four billion, eight hundred forty-two million, seven hundred six thousand, one hundred seventy-six".