6736806401 has 8 divisors (see below), whose sum is σ = 7505195880. Its totient is φ = 6004156032.

The previous prime is 6736806397. The next prime is 6736806437. The reversal of 6736806401 is 1046086376.

It can be written as a sum of positive squares in 4 ways, for example, as 1521078001 + 5215728400 = 39001^2 + 72220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6736806401 - 2² = 6736806397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6736806451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8934380 + ... + 8935133.

It is an arithmetic number, because the mean of its divisors is an integer number (938149485).

Almost surely, 2^6736806401 is an apocalyptic number.

It is an amenable number.

6736806401 is a deficient number, since it is larger than the sum of its proper divisors (768389479).

6736806401 is a wasteful number, since it uses less digits than its factorization.

6736806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17869555.

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 6736806401 is about 82078.0506652053. The cubic root of 6736806401 is about 1888.6494463024.

The spelling of 6736806401 in words is "six billion, seven hundred thirty-six million, eight hundred six thousand, four hundred one".