320409768960 has 528 divisors, whose sum is σ = 1201495591296. Its totient is φ = 81720410112.

The previous prime is 320409768949. The next prime is 320409768961. The reversal of 320409768960 is 69867904023.

It is a happy number.

320409768960 is a `hidden beast` number, since 32 + 0 + 409 + 76 + 89 + 60 = 666.

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 = 320409768897 and 320409768906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320409768961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28610082 + ... + 28621278.

It is an arithmetic number, because the mean of its divisors is an integer number (2275559832).

Almost surely, 2^320409768960 is an apocalyptic number.

320409768960 is a gapful number since it is divisible by the number (30) 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 320409768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600747795648).

320409768960 is an abundant number, since it is smaller than the sum of its proper divisors (881085822336).

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

320409768960 is a wasteful number, since it uses less digits than its factorization.

320409768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 320409768960 in words is "three hundred twenty billion, four hundred nine million, seven hundred sixty-eight thousand, nine hundred sixty".