320033032032 has 144 divisors (see below), whose sum is σ = 977505650352. Its totient is φ = 91413504000.

The previous prime is 320033032013. The next prime is 320033032043. The reversal of 320033032032 is 230230330023.

It is a super-2 number, since 2×320033032032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24609532 + ... + 24622532.

It is an arithmetic number, because the mean of its divisors is an integer number (6788233683).

Almost surely, 2^320033032032 is an apocalyptic number.

320033032032 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 320033032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488752825176).

320033032032 is an abundant number, since it is smaller than the sum of its proper divisors (657472618320).

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

320033032032 is a wasteful number, since it uses less digits than its factorization.

320033032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18261 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 320033032032 its reverse (230230330023), we get a palindrome (550263362055).

The spelling of 320033032032 in words is "three hundred twenty billion, thirty-three million, thirty-two thousand, thirty-two".