4630220364 has 216 divisors, whose sum is σ = 13962199552. Its totient is φ = 1168992000.

The previous prime is 4630220363. The next prime is 4630220381.

It is a happy number.

4630220364 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4630220363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17085549 + ... + 17085819.

Almost surely, 2^4630220364 is an apocalyptic number.

4630220364 is a gapful number since it is divisible by the number (44) 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 4630220364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981099776).

4630220364 is an abundant number, since it is smaller than the sum of its proper divisors (9331979188).

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

4630220364 is a wasteful number, since it uses less digits than its factorization.

4630220364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 4630220364 is about 68045.7225988526. The cubic root of 4630220364 is about 1666.7375517762.

It can be divided in two parts, 46302 and 20364, that added together give a palindrome (66666).

The spelling of 4630220364 in words is "four billion, six hundred thirty million, two hundred twenty thousand, three hundred sixty-four".