4163304960 has 640 divisors, whose sum is σ = 16027545600. Its totient is φ = 1021870080.

The previous prime is 4163304953. The next prime is 4163305007. The reversal of 4163304960 is 694033614.

4163304960 is a `hidden beast` number, since 4 + 163 + 3 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62138847 + ... + 62138913.

It is an arithmetic number, because the mean of its divisors is an integer number (25043040).

Almost surely, 2^4163304960 is an apocalyptic number.

4163304960 is a gapful number since it is divisible by the number (40) 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 4163304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013772800).

4163304960 is an abundant number, since it is smaller than the sum of its proper divisors (11864240640).

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

4163304960 is a wasteful number, since it uses less digits than its factorization.

4163304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4163304960 is about 64523.6775145373. The cubic root of 4163304960 is about 1608.7160989591.

The spelling of 4163304960 in words is "four billion, one hundred sixty-three million, three hundred four thousand, nine hundred sixty".