4630222080 has 432 divisors, whose sum is σ = 17792611200. Its totient is φ = 1102233600.

The previous prime is 4630222057. The next prime is 4630222097. The reversal of 4630222080 is 802220364.

4630222080 is a `hidden beast` number, since 4 + 630 + 2 + 2 + 20 + 8 + 0 = 666.

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, 7729621 + ... + 7730219.

It is an arithmetic number, because the mean of its divisors is an integer number (41186600).

Almost surely, 2^4630222080 is an apocalyptic number.

4630222080 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 4630222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896305600).

4630222080 is an abundant number, since it is smaller than the sum of its proper divisors (13162389120).

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

4630222080 is a wasteful number, since it uses less digits than its factorization.

4630222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4630222080 is about 68045.7352080202. The cubic root of 4630222080 is about 1666.7377576787.

The spelling of 4630222080 in words is "four billion, six hundred thirty million, two hundred twenty-two thousand, eighty".