4638422880 has 1344 divisors, whose sum is σ = 22211159040. Its totient is φ = 886837248.

The previous prime is 4638422843. The next prime is 4638422881. The reversal of 4638422880 is 882248364.

4638422880 is a `hidden beast` number, since 4 + 638 + 4 + 2 + 2 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638422881) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201670549 + ... + 201670571.

It is an arithmetic number, because the mean of its divisors is an integer number (16526160).

Almost surely, 2^4638422880 is an apocalyptic number.

4638422880 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 4638422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105579520).

4638422880 is an abundant number, since it is smaller than the sum of its proper divisors (17572736160).

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

4638422880 is a wasteful number, since it uses less digits than its factorization.

4638422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4638422880 is about 68105.9680204312. The cubic root of 4638422880 is about 1667.7211893595.

The spelling of 4638422880 in words is "four billion, six hundred thirty-eight million, four hundred twenty-two thousand, eight hundred eighty".