4660603920 has 480 divisors, whose sum is σ = 19206270720. Its totient is φ = 1027676160.

The previous prime is 4660603903. The next prime is 4660603921. The reversal of 4660603920 is 293060664.

4660603920 is a `hidden beast` number, since 46 + 6 + 0 + 603 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4660603921) 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, 3945730 + ... + 3946910.

It is an arithmetic number, because the mean of its divisors is an integer number (40013064).

Almost surely, 2^4660603920 is an apocalyptic number.

4660603920 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 4660603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603135360).

4660603920 is an abundant number, since it is smaller than the sum of its proper divisors (14545666800).

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

4660603920 is a wasteful number, since it uses less digits than its factorization.

4660603920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1227 counting only the distinct ones).

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

The square root of 4660603920 is about 68268.6159226917. The cubic root of 4660603920 is about 1670.3753229113.

The spelling of 4660603920 in words is "four billion, six hundred sixty million, six hundred three thousand, nine hundred twenty".