320908972608 has 448 divisors, whose sum is σ = 1100518195200. Its totient is φ = 90931051008.

The previous prime is 320908972597. The next prime is 320908972619. The reversal of 320908972608 is 806279809023.

It is a happy number.

320908972608 is a `hidden beast` number, since 3 + 20 + 9 + 0 + 8 + 9 + 7 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (320908972597) and next prime (320908972619).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 124430263 + ... + 124432841.

Almost surely, 2^320908972608 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 320908972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550259097600).

320908972608 is an abundant number, since it is smaller than the sum of its proper divisors (779609222592).

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

320908972608 is an equidigital number, since it uses as much as digits as its factorization.

320908972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 320908972608 in words is "three hundred twenty billion, nine hundred eight million, nine hundred seventy-two thousand, six hundred eight".