4618516320 has 288 divisors, whose sum is σ = 17831923200. Its totient is φ = 1119536640.

The previous prime is 4618516319. The next prime is 4618516339. The reversal of 4618516320 is 236158164.

It is a happy number.

4618516320 is a `hidden beast` number, since 4 + 6 + 18 + 5 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 422281 + ... + 433079.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^4618516320 is an apocalyptic number.

4618516320 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 4618516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

4618516320 is an abundant number, since it is smaller than the sum of its proper divisors (13213406880).

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

4618516320 is a wasteful number, since it uses less digits than its factorization.

4618516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4618516320 is about 67959.6668620440. Note that the first 3 decimals coincide. The cubic root of 4618516320 is about 1665.3320009969.

The spelling of 4618516320 in words is "four billion, six hundred eighteen million, five hundred sixteen thousand, three hundred twenty".