6605883600 has 120 divisors (see below), whose sum is σ = 21653128992. Its totient is φ = 1720588800.

The previous prime is 6605883569. The next prime is 6605883607. The reversal of 6605883600 is 63885066.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6605883607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411 + ... + 115610.

Almost surely, 2^6605883600 is an apocalyptic number.

6605883600 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 6605883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826564496).

6605883600 is an abundant number, since it is smaller than the sum of its proper divisors (15047245392).

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

6605883600 is a wasteful number, since it uses less digits than its factorization.

6605883600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128085 (or 128074 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6605883600 is about 81276.5870346436. The cubic root of 6605883600 is about 1876.3346799325.

The spelling of 6605883600 in words is "six billion, six hundred five million, eight hundred eighty-three thousand, six hundred".