320354857680 has 320 divisors, whose sum is σ = 1168233228288. Its totient is φ = 71594772480.

The previous prime is 320354857673. The next prime is 320354857727. The reversal of 320354857680 is 86758453023.

It is a happy number.

It is a super-3 number, since 3×320354857680³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28376997 + ... + 28388283.

Almost surely, 2^320354857680 is an apocalyptic number.

320354857680 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 320354857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584116614144).

320354857680 is an abundant number, since it is smaller than the sum of its proper divisors (847878370608).

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

320354857680 is a wasteful number, since it uses less digits than its factorization.

320354857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 320354857680 in words is "three hundred twenty billion, three hundred fifty-four million, eight hundred fifty-seven thousand, six hundred eighty".