321363027072 has 128 divisors (see below), whose sum is σ = 955936819200. Its totient is φ = 106277391360.

The previous prime is 321363027071. The next prime is 321363027077. The reversal of 321363027072 is 270720363123.

321363027072 is a `hidden beast` number, since 3 + 2 + 13 + 630 + 2 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (321363027071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72822 + ... + 805002.

It is an arithmetic number, because the mean of its divisors is an integer number (7468256400).

Almost surely, 2^321363027072 is an apocalyptic number.

321363027072 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 321363027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477968409600).

321363027072 is an abundant number, since it is smaller than the sum of its proper divisors (634573792128).

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

321363027072 is a wasteful number, since it uses less digits than its factorization.

321363027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732331 (or 732313 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 321363027072 in words is "three hundred twenty-one billion, three hundred sixty-three million, twenty-seven thousand, seventy-two".