320507977728 has 224 divisors, whose sum is σ = 891319080960. Its totient is φ = 102310871040.

The previous prime is 320507977703. The next prime is 320507977763. The reversal of 320507977728 is 827779705023.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90511638 + ... + 90515178.

It is an arithmetic number, because the mean of its divisors is an integer number (3979103040).

Almost surely, 2^320507977728 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 320507977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445659540480).

320507977728 is an abundant number, since it is smaller than the sum of its proper divisors (570811103232).

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

320507977728 is a wasteful number, since it uses less digits than its factorization.

320507977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 320507977728 in words is "three hundred twenty billion, five hundred seven million, nine hundred seventy-seven thousand, seven hundred twenty-eight".