4618816020 has 960 divisors, whose sum is σ = 20080811520. Its totient is φ = 859963392.

The previous prime is 4618815997. The next prime is 4618816049. The reversal of 4618816020 is 206188164.

4618816020 is a `hidden beast` number, since 4 + 618 + 8 + 16 + 0 + 20 = 666.

It is a super-2 number, since 2×4618816020² = 42666922853217280800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47616612 + ... + 47616708.

It is an arithmetic number, because the mean of its divisors is an integer number (20917512).

Almost surely, 2^4618816020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4618816020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040405760).

4618816020 is an abundant number, since it is smaller than the sum of its proper divisors (15461995500).

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

4618816020 is a wasteful number, since it uses less digits than its factorization.

4618816020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4618816020 is about 67961.8718105969. The cubic root of 4618816020 is about 1665.3680218870.

The spelling of 4618816020 in words is "four billion, six hundred eighteen million, eight hundred sixteen thousand, twenty".