320894161920 has 880 divisors, whose sum is σ = 1193272743168. Its totient is φ = 82413158400.

The previous prime is 320894161871. The next prime is 320894161981. The reversal of 320894161920 is 29161498023.

320894161920 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 9 + 4 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1968675759 + ... + 1968675921.

Almost surely, 2^320894161920 is an apocalyptic number.

320894161920 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 320894161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596636371584).

320894161920 is an abundant number, since it is smaller than the sum of its proper divisors (872378581248).

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

320894161920 is a wasteful number, since it uses less digits than its factorization.

320894161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 320894161920 in words is "three hundred twenty billion, eight hundred ninety-four million, one hundred sixty-one thousand, nine hundred twenty".