320036412960 has 384 divisors, whose sum is σ = 1240207718400. Its totient is φ = 76425845760.

The previous prime is 320036412863. The next prime is 320036412977. The reversal of 320036412960 is 69214630023.

320036412960 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 3 + 641 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3133581 + ... + 3234099.

It is an arithmetic number, because the mean of its divisors is an integer number (3229707600).

Almost surely, 2^320036412960 is an apocalyptic number.

320036412960 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 320036412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620103859200).

320036412960 is an abundant number, since it is smaller than the sum of its proper divisors (920171305440).

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

320036412960 is a wasteful number, since it uses less digits than its factorization.

320036412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100621 (or 100607 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 320036412960 in words is "three hundred twenty billion, thirty-six million, four hundred twelve thousand, nine hundred sixty".