320106077632 has 112 divisors (see below), whose sum is σ = 724246679520. Its totient is φ = 139036262400.

The previous prime is 320106077597. The next prime is 320106077639. The reversal of 320106077632 is 236770601023.

It is a junction number, because it is equal to n+sod(n) for n = 320106077591 and 320106077600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320106077639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899532 + ... + 2061172.

It is an arithmetic number, because the mean of its divisors is an integer number (6466488210).

Almost surely, 2^320106077632 is an apocalyptic number.

320106077632 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 320106077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362123339760).

320106077632 is an abundant number, since it is smaller than the sum of its proper divisors (404140601888).

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

320106077632 is a wasteful number, since it uses less digits than its factorization.

320106077632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161790 (or 161780 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

Adding to 320106077632 its reverse (236770601023), we get a palindrome (556876678655).

The spelling of 320106077632 in words is "three hundred twenty billion, one hundred six million, seventy-seven thousand, six hundred thirty-two".