4632716160 has 256 divisors, whose sum is σ = 16544563200. Its totient is φ = 1225082880.

The previous prime is 4632716159. The next prime is 4632716201. The reversal of 4632716160 is 616172364.

It is a happy number.

4632716160 is a `hidden beast` number, since 4 + 6 + 32 + 7 + 1 + 616 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2193505 + ... + 2195615.

It is an arithmetic number, because the mean of its divisors is an integer number (64627200).

Almost surely, 2^4632716160 is an apocalyptic number.

4632716160 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 4632716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272281600).

4632716160 is an abundant number, since it is smaller than the sum of its proper divisors (11911847040).

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

4632716160 is a wasteful number, since it uses less digits than its factorization.

4632716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4632716160 is about 68064.0592383381. The cubic root of 4632716160 is about 1667.0369680312.

The spelling of 4632716160 in words is "four billion, six hundred thirty-two million, seven hundred sixteen thousand, one hundred sixty".