6431981472 has 288 divisors, whose sum is σ = 21999902400. Its totient is φ = 1822818816.

The previous prime is 6431981431. The next prime is 6431981503. The reversal of 6431981472 is 2741891346.

6431981472 is a `hidden beast` number, since 64 + 31 + 98 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5884158 + ... + 5885250.

It is an arithmetic number, because the mean of its divisors is an integer number (76388550).

Almost surely, 2^6431981472 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 6431981472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999951200).

6431981472 is an abundant number, since it is smaller than the sum of its proper divisors (15567920928).

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

6431981472 is a wasteful number, since it uses less digits than its factorization.

6431981472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1244 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6431981472 is about 80199.6351113894. The cubic root of 6431981472 is about 1859.7229972506.

The spelling of 6431981472 in words is "six billion, four hundred thirty-one million, nine hundred eighty-one thousand, four hundred seventy-two".