6431940480 has 256 divisors, whose sum is σ = 24809794560. Its totient is φ = 1383628800.

The previous prime is 6431940457. The next prime is 6431940509. The reversal of 6431940480 is 840491346.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214405 + ... + 242555.

It is an arithmetic number, because the mean of its divisors is an integer number (96913260).

Almost surely, 2^6431940480 is an apocalyptic number.

6431940480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6431940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404897280).

6431940480 is an abundant number, since it is smaller than the sum of its proper divisors (18377854080).

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

6431940480 is a wasteful number, since it uses less digits than its factorization.

6431940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28197 (or 28185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6431940480 is about 80199.3795487222. The cubic root of 6431940480 is about 1859.7190464760.

The spelling of 6431940480 in words is "six billion, four hundred thirty-one million, nine hundred forty thousand, four hundred eighty".