6363632160 has 240 divisors, whose sum is σ = 22555786176. Its totient is φ = 1689610752.

The previous prime is 6363632131. The next prime is 6363632189. The reversal of 6363632160 is 612363636.

It is a happy number.

6363632160 is a `hidden beast` number, since 6 + 3 + 6 + 3 + 632 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6363632131) and next prime (6363632189).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3407547 + ... + 3409413.

Almost surely, 2^6363632160 is an apocalyptic number.

6363632160 is a gapful number since it is divisible by the number (60) 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 6363632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277893088).

6363632160 is an abundant number, since it is smaller than the sum of its proper divisors (16192154016).

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

6363632160 is a wasteful number, since it uses less digits than its factorization.

6363632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 6363632160 is about 79772.3771740569. The cubic root of 6363632160 is about 1853.1120893648.

Adding to 6363632160 its reverse (612363636), we get a palindrome (6975995796).

The spelling of 6363632160 in words is "six billion, three hundred sixty-three million, six hundred thirty-two thousand, one hundred sixty".