321880094464320 has 2016 divisors, whose sum is σ = 1409351852563200. Its totient is φ = 69581381861376.

The previous prime is 321880094464307. The next prime is 321880094464339. The reversal of 321880094464320 is 23464490088123.

It is a happy number.

321880094464320 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 80 + 0 + 94 + 46 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7799540646 + ... + 7799581914.

It is an arithmetic number, because the mean of its divisors is an integer number (699083260200).

Almost surely, 2^{321880094464320} is an apocalyptic number.

321880094464320 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 321880094464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704675926281600).

321880094464320 is an abundant number, since it is smaller than the sum of its proper divisors (1087471758098880).

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

321880094464320 is a wasteful number, since it uses less digits than its factorization.

321880094464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41427 (or 41398 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 321880094464320 in words is "three hundred twenty-one trillion, eight hundred eighty billion, ninety-four million, four hundred sixty-four thousand, three hundred twenty".