6605887600 has 240 divisors, whose sum is σ = 17668869120. Its totient is φ = 2358144000.

The previous prime is 6605887549. The next prime is 6605887627. The reversal of 6605887600 is 67885066.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36904311 + ... + 36904489.

It is an arithmetic number, because the mean of its divisors is an integer number (73620288).

Almost surely, 2^6605887600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6605887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

6605887600 is an abundant number, since it is smaller than the sum of its proper divisors (11062981520).

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

6605887600 is a wasteful number, since it uses less digits than its factorization.

6605887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 6605887600 is about 81276.6116419724. The cubic root of 6605887600 is about 1876.3350586523.

The spelling of 6605887600 in words is "six billion, six hundred five million, eight hundred eighty-seven thousand, six hundred".