4607463168 has 432 divisors, whose sum is σ = 17137550080. Its totient is φ = 1195223040.

The previous prime is 4607463167. The next prime is 4607463181. The reversal of 4607463168 is 8613647064.

It is a happy number.

4607463168 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 4 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4607463167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5854071 + ... + 5854857.

Almost surely, 2^4607463168 is an apocalyptic number.

4607463168 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 4607463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568775040).

4607463168 is an abundant number, since it is smaller than the sum of its proper divisors (12530086912).

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

4607463168 is a wasteful number, since it uses less digits than its factorization.

4607463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4607463168 is about 67878.2967376171. The cubic root of 4607463168 is about 1664.0024346611.

The spelling of 4607463168 in words is "four billion, six hundred seven million, four hundred sixty-three thousand, one hundred sixty-eight".