4632475680 has 576 divisors, whose sum is σ = 18822585600. Its totient is φ = 1036836864.

The previous prime is 4632475649. The next prime is 4632475681. The reversal of 4632475680 is 865742364.

4632475680 is a `hidden beast` number, since 4 + 63 + 24 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4632475681) 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 95 ways as a sum of consecutive naturals, for example, 40995304 + ... + 40995416.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^4632475680 is an apocalyptic number.

4632475680 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 4632475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4632475680 is an abundant number, since it is smaller than the sum of its proper divisors (14190109920).

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

4632475680 is a wasteful number, since it uses less digits than its factorization.

4632475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4632475680 is about 68062.2926443122. The cubic root of 4632475680 is about 1667.0081227510.

The spelling of 4632475680 in words is "four billion, six hundred thirty-two million, four hundred seventy-five thousand, six hundred eighty".