6443978112 has 768 divisors, whose sum is σ = 24191136000. Its totient is φ = 1667727360.

The previous prime is 6443978071. The next prime is 6443978119. The reversal of 6443978112 is 2118793446.

6443978112 is a `hidden beast` number, since 6 + 443 + 97 + 8 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443978119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109219939 + ... + 109219997.

It is an arithmetic number, because the mean of its divisors is an integer number (31498875).

Almost surely, 2^6443978112 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 6443978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095568000).

6443978112 is an abundant number, since it is smaller than the sum of its proper divisors (17747157888).

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

6443978112 is a wasteful number, since it uses less digits than its factorization.

6443978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

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

The square root of 6443978112 is about 80274.3926292812. The cubic root of 6443978112 is about 1860.8785028001.

The spelling of 6443978112 in words is "six billion, four hundred forty-three million, nine hundred seventy-eight thousand, one hundred twelve".