6630912288 has 1152 divisors, whose sum is σ = 28378667520. Its totient is φ = 1459814400.

The previous prime is 6630912257. The next prime is 6630912289. The reversal of 6630912288 is 8822190366.

6630912288 is a `hidden beast` number, since 6 + 630 + 9 + 1 + 2 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×6630912288² = 87937995542298789888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6630912289) 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, 161729548 + ... + 161729588.

It is an arithmetic number, because the mean of its divisors is an integer number (24634260).

Almost surely, 2^6630912288 is an apocalyptic number.

6630912288 is a gapful number since it is divisible by the number (68) 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 6630912288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189333760).

6630912288 is an abundant number, since it is smaller than the sum of its proper divisors (21747755232).

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

6630912288 is a wasteful number, since it uses less digits than its factorization.

6630912288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6630912288 is about 81430.4137776544. The cubic root of 6630912288 is about 1878.7014089369.

The spelling of 6630912288 in words is "six billion, six hundred thirty million, nine hundred twelve thousand, two hundred eighty-eight".