4979415168 has 512 divisors, whose sum is σ = 18424627200. Its totient is φ = 1288949760.

The previous prime is 4979415167. The next prime is 4979415223. The reversal of 4979415168 is 8615149794.

4979415168 is a `hidden beast` number, since 497 + 9 + 41 + 51 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4979415167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22329105 + ... + 22329327.

It is an arithmetic number, because the mean of its divisors is an integer number (35985600).

Almost surely, 2^4979415168 is an apocalyptic number.

4979415168 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 4979415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212313600).

4979415168 is an abundant number, since it is smaller than the sum of its proper divisors (13445212032).

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

4979415168 is a wasteful number, since it uses less digits than its factorization.

4979415168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 4979415168 is about 70564.9712534484. The cubic root of 4979415168 is about 1707.6260811087.

The spelling of 4979415168 in words is "four billion, nine hundred seventy-nine million, four hundred fifteen thousand, one hundred sixty-eight".