4704875499168 has 576 divisors, whose sum is σ = 16167610368000. Its totient is φ = 1282075361280.

The previous prime is 4704875499167. The next prime is 4704875499173. The reversal of 4704875499168 is 8619945784074.

4704875499168 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 8 + 75 + 499 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4704875499096 and 4704875499105.

It is not an unprimeable number, because it can be changed into a prime (4704875499161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180174433 + ... + 180200543.

It is an arithmetic number, because the mean of its divisors is an integer number (28068768000).

Almost surely, 2^{4704875499168} is an apocalyptic number.

4704875499168 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 4704875499168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083805184000).

4704875499168 is an abundant number, since it is smaller than the sum of its proper divisors (11462734868832).

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

4704875499168 is a wasteful number, since it uses less digits than its factorization.

4704875499168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26325 (or 26314 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 4704875499168 in words is "four trillion, seven hundred four billion, eight hundred seventy-five million, four hundred ninety-nine thousand, one hundred sixty-eight".