6005606000 has 80 divisors (see below), whose sum is σ = 14726432448. Its totient is φ = 2368352000.

The previous prime is 6005605961. The next prime is 6005606039. The reversal of 6005606000 is 6065006.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6005605961) and next prime (6005606039).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 120854 + ... + 163146.

Almost surely, 2^6005606000 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 6005606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363216224).

6005606000 is an abundant number, since it is smaller than the sum of its proper divisors (8720826448).

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

6005606000 is a wasteful number, since it uses less digits than its factorization.

6005606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42387 (or 42371 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 6005606000 is about 77495.8450499122. The cubic root of 6005606000 is about 1817.6863487807.

The spelling of 6005606000 in words is "six billion, five million, six hundred six thousand".