4842679968 has 144 divisors (see below), whose sum is σ = 16073890560. Its totient is φ = 1354157568.

The previous prime is 4842679957. The next prime is 4842679987. The reversal of 4842679968 is 8699762484.

4842679968 is a `hidden beast` number, since 484 + 2 + 6 + 7 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 69198 + ... + 120306.

It is an arithmetic number, because the mean of its divisors is an integer number (111624240).

Almost surely, 2^4842679968 is an apocalyptic number.

4842679968 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 4842679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036945280).

4842679968 is an abundant number, since it is smaller than the sum of its proper divisors (11231210592).

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

4842679968 is a wasteful number, since it uses less digits than its factorization.

4842679968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51179 (or 51168 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 4842679968 is about 69589.3667739548. The cubic root of 4842679968 is about 1691.8502625568.

The spelling of 4842679968 in words is "four billion, eight hundred forty-two million, six hundred seventy-nine thousand, nine hundred sixty-eight".