320968508290560 has 1280 divisors, whose sum is σ = 1318346140446720. Its totient is φ = 73312551567360.

The previous prime is 320968508290517. The next prime is 320968508290609. The reversal of 320968508290560 is 65092805869023.

320968508290560 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 68 + 5 + 0 + 8 + 2 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×320968508290560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 1084413949 + ... + 1084709891.

It is an arithmetic number, because the mean of its divisors is an integer number (1029957922224).

Almost surely, 2^{320968508290560} is an apocalyptic number.

320968508290560 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 320968508290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659173070223360).

320968508290560 is an abundant number, since it is smaller than the sum of its proper divisors (997377632156160).

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

320968508290560 is a wasteful number, since it uses less digits than its factorization.

320968508290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296076 (or 296054 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 320968508290560 in words is "three hundred twenty trillion, nine hundred sixty-eight billion, five hundred eight million, two hundred ninety thousand, five hundred sixty".