7944064021760 has 288 divisors, whose sum is σ = 19532631444480. Its totient is φ = 3094842834944.

The previous prime is 7944064021717. The next prime is 7944064021763. The reversal of 7944064021760 is 671204604497.

It is a junction number, because it is equal to n+sod(n) for n = 7944064021699 and 7944064021708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944064021763) 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, 2365006961 + ... + 2365010319.

It is an arithmetic number, because the mean of its divisors is an integer number (67821636960).

Almost surely, 2^{7944064021760} 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 7944064021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766315722240).

7944064021760 is an abundant number, since it is smaller than the sum of its proper divisors (11588567422720).

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

7944064021760 is a wasteful number, since it uses less digits than its factorization.

7944064021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 7944064021760 in words is "seven trillion, nine hundred forty-four billion, sixty-four million, twenty-one thousand, seven hundred sixty".