6735641011 has 16 divisors (see below), whose sum is σ = 7722650880. Its totient is φ = 5814911520.

The previous prime is 6735640991. The next prime is 6735641021. The reversal of 6735641011 is 1101465376.

6735641011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6735641011 - 2⁵ = 6735640979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6735641021) by changing a digit.

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, 60600 + ... + 130933.

It is an arithmetic number, because the mean of its divisors is an integer number (482665680).

Almost surely, 2^6735641011 is an apocalyptic number.

6735641011 is a deficient number, since it is larger than the sum of its proper divisors (987009869).

6735641011 is a wasteful number, since it uses less digits than its factorization.

6735641011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191706.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 6735641011 is about 82070.9510789293. The cubic root of 6735641011 is about 1888.5405351469.

It can be divided in two parts, 6735 and 641011, that added together give a palindrome (647746).

The spelling of 6735641011 in words is "six billion, seven hundred thirty-five million, six hundred forty-one thousand, eleven".