322231904640 has 768 divisors, whose sum is σ = 1215520862400. Its totient is φ = 78352220160.

The previous prime is 322231904629. The next prime is 322231904641. The reversal of 322231904640 is 46409132223.

322231904640 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 3 + 1 + 9 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 322231904595 and 322231904604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322231904641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436037391 + ... + 436038129.

Almost surely, 2^322231904640 is an apocalyptic number.

322231904640 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 322231904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607760431200).

322231904640 is an abundant number, since it is smaller than the sum of its proper divisors (893288957760).

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

322231904640 is a wasteful number, since it uses less digits than its factorization.

322231904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 322231904640 in words is "three hundred twenty-two billion, two hundred thirty-one million, nine hundred four thousand, six hundred forty".