6431682096 has 640 divisors, whose sum is σ = 24074649600. Its totient is φ = 1601233920.

The previous prime is 6431682083. The next prime is 6431682107. The reversal of 6431682096 is 6902861346.

6431682096 is a `hidden beast` number, since 6 + 431 + 6 + 8 + 209 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40966050 + ... + 40966206.

It is an arithmetic number, because the mean of its divisors is an integer number (37616640).

Almost surely, 2^6431682096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6431682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037324800).

6431682096 is an abundant number, since it is smaller than the sum of its proper divisors (17642967504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6431682096 is a wasteful number, since it uses less digits than its factorization.

6431682096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6431682096 is about 80197.7686472635. The cubic root of 6431682096 is about 1859.6941432563.

The spelling of 6431682096 in words is "six billion, four hundred thirty-one million, six hundred eighty-two thousand, ninety-six".