6005575680 has 416 divisors, whose sum is σ = 21180746496. Its totient is φ = 1443889152.

The previous prime is 6005575679. The next prime is 6005575691. The reversal of 6005575680 is 865755006.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58306509 + ... + 58306611.

It is an arithmetic number, because the mean of its divisors is an integer number (50915256).

Almost surely, 2^6005575680 is an apocalyptic number.

6005575680 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 6005575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590373248).

6005575680 is an abundant number, since it is smaller than the sum of its proper divisors (15175170816).

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

6005575680 is a wasteful number, since it uses less digits than its factorization.

6005575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 6005575680 is about 77495.6494262742. The cubic root of 6005575680 is about 1817.6832898419.

The spelling of 6005575680 in words is "six billion, five million, five hundred seventy-five thousand, six hundred eighty".