6005507760 has 240 divisors, whose sum is σ = 23104860480. Its totient is φ = 1369405440.

The previous prime is 6005507741. The next prime is 6005507797. The reversal of 6005507760 is 677055006.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6005507760² = 72132246910840435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2564190 + ... + 2566530.

It is an arithmetic number, because the mean of its divisors is an integer number (96270252).

Almost surely, 2^6005507760 is an apocalyptic number.

6005507760 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 6005507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552430240).

6005507760 is an abundant number, since it is smaller than the sum of its proper divisors (17099352720).

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

6005507760 is a wasteful number, since it uses less digits than its factorization.

6005507760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 6005507760 is about 77495.2112068868. The cubic root of 6005507760 is about 1817.6764374589.

The spelling of 6005507760 in words is "six billion, five million, five hundred seven thousand, seven hundred sixty".