322825945004640 has 2304 divisors, whose sum is σ = 1440748746178560. Its totient is φ = 63869202432000.

The previous prime is 322825945004599. The next prime is 322825945004663. The reversal of 322825945004640 is 46400549528223.

322825945004640 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 2 + 5 + 94 + 500 + 4 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 151065017652 + ... + 151065019788.

It is an arithmetic number, because the mean of its divisors is an integer number (625324976640).

Almost surely, 2^{322825945004640} is an apocalyptic number.

322825945004640 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 322825945004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720374373089280).

322825945004640 is an abundant number, since it is smaller than the sum of its proper divisors (1117922801173920).

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

322825945004640 is a wasteful number, since it uses less digits than its factorization.

322825945004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 322825945004640 in words is "three hundred twenty-two trillion, eight hundred twenty-five billion, nine hundred forty-five million, four thousand, six hundred forty".