6001355664 has 80 divisors (see below), whose sum is σ = 17244283200. Its totient is φ = 1998342144.

The previous prime is 6001355653. The next prime is 6001355669. The reversal of 6001355664 is 4665531006.

6001355664 is a `hidden beast` number, since 60 + 0 + 1 + 35 + 566 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6001355669) by changing a digit.

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, 433392 + ... + 447024.

It is an arithmetic number, because the mean of its divisors is an integer number (215553540).

Almost surely, 2^6001355664 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 6001355664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622141600).

6001355664 is an abundant number, since it is smaller than the sum of its proper divisors (11242927536).

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

6001355664 is a wasteful number, since it uses less digits than its factorization.

6001355664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6001355664 is about 77468.4172033997. The cubic root of 6001355664 is about 1817.2574383579.

The spelling of 6001355664 in words is "six billion, one million, three hundred fifty-five thousand, six hundred sixty-four".