320464362240 has 432 divisors, whose sum is σ = 1230100784640. Its totient is φ = 76369797120.

The previous prime is 320464362233. The next prime is 320464362271. The reversal of 320464362240 is 42263464023.

320464362240 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 643 + 6 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320464362195 and 320464362204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7455049 + ... + 7497911.

It is an arithmetic number, because the mean of its divisors is an integer number (2847455520).

Almost surely, 2^320464362240 is an apocalyptic number.

320464362240 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 320464362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615050392320).

320464362240 is an abundant number, since it is smaller than the sum of its proper divisors (909636422400).

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

320464362240 is a wasteful number, since it uses less digits than its factorization.

320464362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42960 (or 42943 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 320464362240 in words is "three hundred twenty billion, four hundred sixty-four million, three hundred sixty-two thousand, two hundred forty".