6407813809 has 4 divisors (see below), whose sum is σ = 6580998004. Its totient is φ = 6234629616.

The previous prime is 6407813807. The next prime is 6407813827. The reversal of 6407813809 is 9083187046.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5707047025 + 700766784 = 75545^2 + 26472^2 .

It is a cyclic number.

It is not a de Polignac number, because 6407813809 - 2¹ = 6407813807 is a prime.

It is a super-4 number, since 4×6407813809⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6407813807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86592042 + ... + 86592115.

It is an arithmetic number, because the mean of its divisors is an integer number (1645249501).

Almost surely, 2^6407813809 is an apocalyptic number.

It is an amenable number.

6407813809 is a deficient number, since it is larger than the sum of its proper divisors (173184195).

6407813809 is a wasteful number, since it uses less digits than its factorization.

6407813809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173184194.

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 6407813809 is about 80048.8214091875. The cubic root of 6407813809 is about 1857.3908196628.

The spelling of 6407813809 in words is "six billion, four hundred seven million, eight hundred thirteen thousand, eight hundred nine".