5940768227680 has 432 divisors, whose sum is σ = 17020630705680. Its totient is φ = 1956422307840.

The previous prime is 5940768227657. The next prime is 5940768227683. The reversal of 5940768227680 is 867228670495.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5940768227683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173390391 + ... + 173424649.

It is an arithmetic number, because the mean of its divisors is an integer number (39399608115).

Almost surely, 2^{5940768227680} 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 5940768227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510315352840).

5940768227680 is an abundant number, since it is smaller than the sum of its proper divisors (11079862478000).

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

5940768227680 is a wasteful number, since it uses less digits than its factorization.

5940768227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34375 (or 34343 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 5940768227680 in words is "five trillion, nine hundred forty billion, seven hundred sixty-eight million, two hundred twenty-seven thousand, six hundred eighty".