5630584320 has 480 divisors, whose sum is σ = 21087712800. Its totient is φ = 1422360576.

The previous prime is 5630584313. The next prime is 5630584327. The reversal of 5630584320 is 234850365.

It is a happy number.

5630584320 is a `hidden beast` number, since 56 + 3 + 0 + 584 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5630584313) and next prime (5630584327).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5630584327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106237414 + ... + 106237466.

It is an arithmetic number, because the mean of its divisors is an integer number (43932735).

Almost surely, 2^5630584320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5630584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543856400).

5630584320 is an abundant number, since it is smaller than the sum of its proper divisors (15457128480).

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

5630584320 is an equidigital number, since it uses as much as digits as its factorization.

5630584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5630584320 is about 75037.2195646934. The cubic root of 5630584320 is about 1779.0349859037.

It can be divided in two parts, 56305 and 84320, that added together give a square (140625 = 375²).

The spelling of 5630584320 in words is "five billion, six hundred thirty million, five hundred eighty-four thousand, three hundred twenty".