4630213360 has 80 divisors (see below), whose sum is σ = 11367308160. Its totient is φ = 1749116160.

The previous prime is 4630213333. The next prime is 4630213361. The reversal of 4630213360 is 633120364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630213361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498519 + ... + 507721.

It is an arithmetic number, because the mean of its divisors is an integer number (142091352).

Almost surely, 2^4630213360 is an apocalyptic number.

4630213360 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 4630213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683654080).

4630213360 is an abundant number, since it is smaller than the sum of its proper divisors (6737094800).

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

4630213360 is a wasteful number, since it uses less digits than its factorization.

4630213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 4630213360 is about 68045.6711334380. The cubic root of 4630213360 is about 1666.7367113673.

The spelling of 4630213360 in words is "four billion, six hundred thirty million, two hundred thirteen thousand, three hundred sixty".