6608131200 has 768 divisors, whose sum is σ = 28002672000. Its totient is φ = 1504051200.

The previous prime is 6608131193. The next prime is 6608131223. The reversal of 6608131200 is 21318066.

6608131200 is a `hidden beast` number, since 6 + 608 + 1 + 31 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16156596 + ... + 16157004.

Almost surely, 2^6608131200 is an apocalyptic number.

6608131200 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 6608131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001336000).

6608131200 is an abundant number, since it is smaller than the sum of its proper divisors (21394540800).

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

6608131200 is a wasteful number, since it uses less digits than its factorization.

6608131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6608131200 is about 81290.4127188440. The cubic root of 6608131200 is about 1876.5474585138.

Adding to 6608131200 its reverse (21318066), we get a palindrome (6629449266).

The spelling of 6608131200 in words is "six billion, six hundred eight million, one hundred thirty-one thousand, two hundred".