939444624768 has 256 divisors, whose sum is σ = 2764566302400. Its totient is φ = 280780701696.

The previous prime is 939444624763. The next prime is 939444624793. The reversal of 939444624768 is 867426444939.

939444624768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 939444624699 and 939444624708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (939444624763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120607818 + ... + 120615606.

Almost surely, 2^939444624768 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 939444624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382283151200).

939444624768 is an abundant number, since it is smaller than the sum of its proper divisors (1825121677632).

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

939444624768 is a wasteful number, since it uses less digits than its factorization.

939444624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8497 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 66.

The spelling of 939444624768 in words is "nine hundred thirty-nine billion, four hundred forty-four million, six hundred twenty-four thousand, seven hundred sixty-eight".