6004790064 has 240 divisors, whose sum is σ = 21593305440. Its totient is φ = 1583608320.

The previous prime is 6004790047. The next prime is 6004790069. The reversal of 6004790064 is 4600974006.

6004790064 is a `hidden beast` number, since 600 + 47 + 9 + 0 + 0 + 6 + 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 (6004790069) 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 47 ways as a sum of consecutive naturals, for example, 264274 + ... + 286094.

It is an arithmetic number, because the mean of its divisors is an integer number (89972106).

Almost surely, 2^6004790064 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 6004790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796652720).

6004790064 is an abundant number, since it is smaller than the sum of its proper divisors (15588515376).

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

6004790064 is a wasteful number, since it uses less digits than its factorization.

6004790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21865 (or 21846 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6004790064 is about 77490.5804856306. The cubic root of 6004790064 is about 1817.6040266470.

The spelling of 6004790064 in words is "six billion, four million, seven hundred ninety thousand, sixty-four".