6006684600 has 960 divisors, whose sum is σ = 25926912000. Its totient is φ = 1285320960.

The previous prime is 6006684587. The next prime is 6006684601. The reversal of 6006684600 is 64866006.

6006684600 is a `hidden beast` number, since 600 + 6 + 6 + 8 + 46 + 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 not an unprimeable number, because it can be changed into a prime (6006684601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127801777 + ... + 127801823.

It is an arithmetic number, because the mean of its divisors is an integer number (27007200).

Almost surely, 2^6006684600 is an apocalyptic number.

6006684600 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 6006684600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456000).

6006684600 is an abundant number, since it is smaller than the sum of its proper divisors (19920227400).

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

6006684600 is a wasteful number, since it uses less digits than its factorization.

6006684600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6006684600 is about 77502.8038202490. The cubic root of 6006684600 is about 1817.7951603997.

The spelling of 6006684600 in words is "six billion, six million, six hundred eighty-four thousand, six hundred".