5630510160 has 960 divisors, whose sum is σ = 24067031040. Its totient is φ = 1161216000.

The previous prime is 5630510159. The next prime is 5630510161. The reversal of 5630510160 is 610150365.

It is a happy number.

5630510160 is a `hidden beast` number, since 5 + 630 + 5 + 10 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5630510159) and next prime (5630510161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5630510161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79302925 + ... + 79302995.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 2^5630510160 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 5630510160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033515520).

5630510160 is an abundant number, since it is smaller than the sum of its proper divisors (18436520880).

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

5630510160 is a wasteful number, since it uses less digits than its factorization.

5630510160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5630510160 is about 75036.7254082959. The cubic root of 5630510160 is about 1779.0271753577.

The spelling of 5630510160 in words is "five billion, six hundred thirty million, five hundred ten thousand, one hundred sixty".