322346868480 has 1944 divisors, whose sum is σ = 1463470968960. Its totient is φ = 65213890560.

The previous prime is 322346868461. The next prime is 322346868491. The reversal of 322346868480 is 84868643223.

322346868480 is a `hidden beast` number, since 3 + 2 + 23 + 468 + 6 + 84 + 80 = 666.

It is a super-3 number, since 3×322346868480³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2957310666 + ... + 2957310774.

Almost surely, 2^322346868480 is an apocalyptic number.

322346868480 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 322346868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731735484480).

322346868480 is an abundant number, since it is smaller than the sum of its proper divisors (1141124100480).

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

322346868480 is a wasteful number, since it uses less digits than its factorization.

322346868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 322346868480 in words is "three hundred twenty-two billion, three hundred forty-six million, eight hundred sixty-eight thousand, four hundred eighty".