320585775677440 has 768 divisors, whose sum is σ = 965621393281440. Its totient is φ = 101274385121280.

The previous prime is 320585775677429. The next prime is 320585775677527. The reversal of 320585775677440 is 44776577585023.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 320585775677440.

It is a congruent number.

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, 63976404535 + ... + 63976409545.

Almost surely, 2^{320585775677440} 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 320585775677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482810696640720).

320585775677440 is an abundant number, since it is smaller than the sum of its proper divisors (645035617604000).

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

320585775677440 is an equidigital number, since it uses as much as digits as its factorization.

320585775677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1382976000, while the sum is 70.

The spelling of 320585775677440 in words is "three hundred twenty trillion, five hundred eighty-five billion, seven hundred seventy-five million, six hundred seventy-seven thousand, four hundred forty".