6431932416 has 256 divisors, whose sum is σ = 21138969600. Its totient is φ = 1693974528.

The previous prime is 6431932411. The next prime is 6431932427. The reversal of 6431932416 is 6142391346.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431932411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8945305 + ... + 8946023.

It is an arithmetic number, because the mean of its divisors is an integer number (82574100).

Almost surely, 2^6431932416 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 6431932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569484800).

6431932416 is an abundant number, since it is smaller than the sum of its proper divisors (14707037184).

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

6431932416 is an equidigital number, since it uses as much as digits as its factorization.

6431932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 744 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 6431932416 is about 80199.3292740033. The cubic root of 6431932416 is about 1859.7182692725.

The spelling of 6431932416 in words is "six billion, four hundred thirty-one million, nine hundred thirty-two thousand, four hundred sixteen".