6401688311 has 8 divisors (see below), whose sum is σ = 6579856560. Its totient is φ = 6223791168.

The previous prime is 6401688289. The next prime is 6401688331. The reversal of 6401688311 is 1138861046.

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 6401688311 - 2⁶ = 6401688247 is a prime.

It is a super-3 number, since 3×6401688311³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401688331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19421 + ... + 114806.

It is an arithmetic number, because the mean of its divisors is an integer number (822482070).

Almost surely, 2^6401688311 is an apocalyptic number.

6401688311 is a deficient number, since it is larger than the sum of its proper divisors (178168249).

6401688311 is a wasteful number, since it uses less digits than its factorization.

6401688311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135553.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 6401688311 is about 80010.5512479448. The cubic root of 6401688311 is about 1856.7987783723.

The spelling of 6401688311 in words is "six billion, four hundred one million, six hundred eighty-eight thousand, three hundred eleven".