6006428064 has 288 divisors, whose sum is σ = 21703578624. Its totient is φ = 1532805120.

The previous prime is 6006428053. The next prime is 6006428069. The reversal of 6006428064 is 4608246006.

It is a happy number.

6006428064 is a `hidden beast` number, since 6 + 0 + 0 + 642 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (6006428069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808752 + ... + 816144.

It is an arithmetic number, because the mean of its divisors is an integer number (75359648).

Almost surely, 2^6006428064 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 6006428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10851789312).

6006428064 is an abundant number, since it is smaller than the sum of its proper divisors (15697150560).

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

6006428064 is a wasteful number, since it uses less digits than its factorization.

6006428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6006428064 is about 77501.1487914857. The cubic root of 6006428064 is about 1817.7692816458.

The spelling of 6006428064 in words is "six billion, six million, four hundred twenty-eight thousand, sixty-four".