320775469056 has 1440 divisors, whose sum is σ = 1229144716800. Its totient is φ = 82771476480.

The previous prime is 320775469051. The next prime is 320775469111. The reversal of 320775469056 is 650964577023.

320775469056 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 7 + 546 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×320775469056² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 320775468993 and 320775469011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320775469051) 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 119 ways as a sum of consecutive naturals, for example, 4787693535 + ... + 4787693601.

It is an arithmetic number, because the mean of its divisors is an integer number (853572720).

Almost surely, 2^320775469056 is an apocalyptic number.

320775469056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320775469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614572358400).

320775469056 is an abundant number, since it is smaller than the sum of its proper divisors (908369247744).

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

320775469056 is a wasteful number, since it uses less digits than its factorization.

320775469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 320775469056 in words is "three hundred twenty billion, seven hundred seventy-five million, four hundred sixty-nine thousand, fifty-six".