6409637409321 has 10 divisors (see below), whose sum is σ = 9574890451082. Its totient is φ = 4273091606160.

The previous prime is 6409637409281. The next prime is 6409637409337. The reversal of 6409637409321 is 1239047369046.

It is a happy number.

6409637409321 is a `hidden beast` number, since 6 + 409 + 63 + 74 + 0 + 93 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6291568890000 + 118068519321 = 2508300^2 + 343611^2 .

It is not a de Polignac number, because 6409637409321 - 2¹³ = 6409637401129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6409637409421) 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 9 ways as a sum of consecutive naturals, for example, 39565662940 + ... + 39565663101.

Almost surely, 2^{6409637409321} is an apocalyptic number.

It is an amenable number.

6409637409321 is a deficient number, since it is larger than the sum of its proper divisors (3165253041761).

6409637409321 is an equidigital number, since it uses as much as digits as its factorization.

6409637409321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79131326053 (or 79131326044 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 6409637409321 in words is "six trillion, four hundred nine billion, six hundred thirty-seven million, four hundred nine thousand, three hundred twenty-one".