320820000192 has 336 divisors, whose sum is σ = 1008224755200. Its totient is φ = 97176360960.

The previous prime is 320820000113. The next prime is 320820000199. The reversal of 320820000192 is 291000028023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320820000199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28744309 + ... + 28755467.

Almost surely, 2^320820000192 is an apocalyptic number.

320820000192 is a gapful number since it is divisible by the number (32) 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 320820000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504112377600).

320820000192 is an abundant number, since it is smaller than the sum of its proper divisors (687404755008).

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

320820000192 is a wasteful number, since it uses less digits than its factorization.

320820000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 320820000192 in words is "three hundred twenty billion, eight hundred twenty million, one hundred ninety-two", and thus it is an aban number.