6400311687 has 128 divisors (see below), whose sum is σ = 12386304000. Its totient is φ = 3169031040.

The previous prime is 6400311667. The next prime is 6400311703. The reversal of 6400311687 is 7861130046.

6400311687 is a `hidden beast` number, since 640 + 0 + 3 + 1 + 1 + 6 + 8 + 7 = 666.

It is not a de Polignac number, because 6400311687 - 2¹⁰ = 6400310663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400311607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5003514 + ... + 5004792.

It is an arithmetic number, because the mean of its divisors is an integer number (96768000).

Almost surely, 2^6400311687 is an apocalyptic number.

6400311687 is a deficient number, since it is larger than the sum of its proper divisors (5985992313).

6400311687 is a wasteful number, since it uses less digits than its factorization.

6400311687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6400311687 is about 80001.9480200326. The cubic root of 6400311687 is about 1856.6656730162.

The spelling of 6400311687 in words is "six billion, four hundred million, three hundred eleven thousand, six hundred eighty-seven".