320977133568 has 896 divisors, whose sum is σ = 1204866109440. Its totient is φ = 82174279680.

The previous prime is 320977133563. The next prime is 320977133597. The reversal of 320977133568 is 865331779023.

320977133568 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 7 + 71 + 3 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320977133563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744726313 + ... + 744726743.

It is an arithmetic number, because the mean of its divisors is an integer number (1344716640).

Almost surely, 2^320977133568 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 320977133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602433054720).

320977133568 is an abundant number, since it is smaller than the sum of its proper divisors (883888975872).

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

320977133568 is a wasteful number, since it uses less digits than its factorization.

320977133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 320977133568 in words is "three hundred twenty billion, nine hundred seventy-seven million, one hundred thirty-three thousand, five hundred sixty-eight".