6612883200 has 1296 divisors, whose sum is σ = 31205502720. Its totient is φ = 1354752000.

The previous prime is 6612883163. The next prime is 6612883213. The reversal of 6612883200 is 23882166.

6612883200 is a `hidden beast` number, since 6 + 612 + 8 + 8 + 32 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93139165 + ... + 93139235.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^6612883200 is an apocalyptic number.

6612883200 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 6612883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602751360).

6612883200 is an abundant number, since it is smaller than the sum of its proper divisors (24592619520).

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

6612883200 is a wasteful number, since it uses less digits than its factorization.

6612883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6612883200 is about 81319.6360050880. The cubic root of 6612883200 is about 1876.9971679488.

The spelling of 6612883200 in words is "six billion, six hundred twelve million, eight hundred eighty-three thousand, two hundred".