6438293712 has 120 divisors (see below), whose sum is σ = 18918625440. Its totient is φ = 2041079040.

The previous prime is 6438293707. The next prime is 6438293747. The reversal of 6438293712 is 2173928346.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268287 + ... + 291297.

It is an arithmetic number, because the mean of its divisors is an integer number (157655212).

Almost surely, 2^6438293712 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 6438293712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9459312720).

6438293712 is an abundant number, since it is smaller than the sum of its proper divisors (12480331728).

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

6438293712 is a wasteful number, since it uses less digits than its factorization.

6438293712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23121 (or 23112 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6438293712 is about 80238.9787572100. The cubic root of 6438293712 is about 1860.3311654528.

The spelling of 6438293712 in words is "six billion, four hundred thirty-eight million, two hundred ninety-three thousand, seven hundred twelve".