6005010064 has 15 divisors (see below), whose sum is σ = 11635307593. Its totient is φ = 3002350048.

The previous prime is 6005010017. The next prime is 6005010073. The reversal of 6005010064 is 4600105006.

The square root of 6005010064 is 77492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 4276113664 = 41580^2 + 65392^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 300282 + ... + 319654.

Almost surely, 2^6005010064 is an apocalyptic number.

6005010064 is the 77492-nd square number.

It is an amenable number.

6005010064 is a deficient number, since it is larger than the sum of its proper divisors (5630297529).

6005010064 is an frugal number, since it uses more digits than its factorization.

6005010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754 (or 19375 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 6005010064 is about 1817.6262238150.

The spelling of 6005010064 in words is "six billion, five million, ten thousand, sixty-four".