320435655778080 has 768 divisors, whose sum is σ = 1205518349952000. Its totient is φ = 79209607200768.

The previous prime is 320435655778061. The next prime is 320435655778093. The reversal of 320435655778080 is 80877556534023.

320435655778080 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 3 + 5 + 6 + 557 + 78 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320435655777999 and 320435655778017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1679697741 + ... + 1679888499.

It is an arithmetic number, because the mean of its divisors is an integer number (1569685351500).

Almost surely, 2^{320435655778080} is an apocalyptic number.

320435655778080 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 320435655778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602759174976000).

320435655778080 is an abundant number, since it is smaller than the sum of its proper divisors (885082694173920).

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

320435655778080 is a wasteful number, since it uses less digits than its factorization.

320435655778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191146 (or 191132 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 320435655778080 in words is "three hundred twenty trillion, four hundred thirty-five billion, six hundred fifty-five million, seven hundred seventy-eight thousand, eighty".