6000946560 has 640 divisors, whose sum is σ = 25592371200. Its totient is φ = 1310183424.

The previous prime is 6000946507. The next prime is 6000946561. The reversal of 6000946560 is 656490006.

It is a happy number.

6000946560 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 94 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6000946560² = 72022719231951667200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000946561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8345881 + ... + 8346599.

It is an arithmetic number, because the mean of its divisors is an integer number (39988080).

Almost surely, 2^6000946560 is an apocalyptic number.

6000946560 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 6000946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796185600).

6000946560 is an abundant number, since it is smaller than the sum of its proper divisors (19591424640).

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

6000946560 is a wasteful number, since it uses less digits than its factorization.

6000946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6000946560 is about 77465.7767017152. The cubic root of 6000946560 is about 1817.2161441225.

The spelling of 6000946560 in words is "six billion, nine hundred forty-six thousand, five hundred sixty".