320100406560 has 288 divisors, whose sum is σ = 1261744428672. Its totient is φ = 73035325440.

The previous prime is 320100406559. The next prime is 320100406607. The reversal of 320100406560 is 65604001023.

320100406560 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 0 + 4 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 325084 + ... + 863643.

It is an arithmetic number, because the mean of its divisors is an integer number (4381057044).

Almost surely, 2^320100406560 is an apocalyptic number.

320100406560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320100406560 is an abundant number, since it is smaller than the sum of its proper divisors (941644022112).

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

320100406560 is a wasteful number, since it uses less digits than its factorization.

320100406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188776 (or 1188765 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 320100406560 its reverse (65604001023), we get a palindrome (385704407583).

The spelling of 320100406560 in words is "three hundred twenty billion, one hundred million, four hundred six thousand, five hundred sixty".