322345826880 has 896 divisors, whose sum is σ = 1326764261376. Its totient is φ = 64347955200.

The previous prime is 322345826861. The next prime is 322345826909. The reversal of 322345826880 is 88628543223.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373517329 + ... + 373518191.

Almost surely, 2^322345826880 is an apocalyptic number.

322345826880 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 322345826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663382130688).

322345826880 is an abundant number, since it is smaller than the sum of its proper divisors (1004418434496).

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

322345826880 is a wasteful number, since it uses less digits than its factorization.

322345826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 322345826880 in words is "three hundred twenty-two billion, three hundred forty-five million, eight hundred twenty-six thousand, eight hundred eighty".