320409048960 has 1536 divisors, whose sum is σ = 1511543255040. Its totient is φ = 60383232000.

The previous prime is 320409048941. The next prime is 320409048977. The reversal of 320409048960 is 69840904023.

320409048960 is a `hidden beast` number, since 3 + 20 + 4 + 0 + 90 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351710905 + ... + 351711815.

It is an arithmetic number, because the mean of its divisors is an integer number (984077640).

Almost surely, 2^320409048960 is an apocalyptic number.

320409048960 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 320409048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755771627520).

320409048960 is an abundant number, since it is smaller than the sum of its proper divisors (1191134206080).

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

320409048960 is a wasteful number, since it uses less digits than its factorization.

320409048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 320409048960 in words is "three hundred twenty billion, four hundred nine million, forty-eight thousand, nine hundred sixty".