6642005305 has 16 divisors (see below), whose sum is σ = 8587308240. Its totient is φ = 4902697728.

The previous prime is 6642005291. The next prime is 6642005323. The reversal of 6642005305 is 5035002466.

It can be written as a sum of positive squares in 8 ways, for example, as 2424282169 + 4217723136 = 49237^2 + 64944^2 .

It is a cyclic number.

It is not a de Polignac number, because 6642005305 - 2⁵ = 6642005273 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133899 + ... + 176671.

It is an arithmetic number, because the mean of its divisors is an integer number (536706765).

Almost surely, 2^6642005305 is an apocalyptic number.

6642005305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6642005305 is a deficient number, since it is larger than the sum of its proper divisors (1945302935).

6642005305 is a wasteful number, since it uses less digits than its factorization.

6642005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45180.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 6642005305 is about 81498.4987898550. The cubic root of 6642005305 is about 1879.7484672722.

The spelling of 6642005305 in words is "six billion, six hundred forty-two million, five thousand, three hundred five".