6436473121 has 64 divisors (see below), whose sum is σ = 7657735680. Its totient is φ = 5364817920.

The previous prime is 6436473119. The next prime is 6436473137. The reversal of 6436473121 is 1213746346.

It is a 3-Lehmer number, since φ(6436473121) divides (6436473121-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6436473121 - 2¹ = 6436473119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_6436473120.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6436473151) 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 63 ways as a sum of consecutive naturals, for example, 66355345 + ... + 66355441.

It is an arithmetic number, because the mean of its divisors is an integer number (119652120).

It is a Poulet number, since it divides 2^6436473120-1.

Almost surely, 2^6436473121 is an apocalyptic number.

It is an amenable number.

6436473121 is a deficient number, since it is larger than the sum of its proper divisors (1221262559).

6436473121 is a wasteful number, since it uses less digits than its factorization.

6436473121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its digits is 72576, while the sum is 37.

The square root of 6436473121 is about 80227.6331509287. The cubic root of 6436473121 is about 1860.1557969664.

The spelling of 6436473121 in words is "six billion, four hundred thirty-six million, four hundred seventy-three thousand, one hundred twenty-one".