322601660640 has 864 divisors, whose sum is σ = 1323765555840. Its totient is φ = 71292469248.

The previous prime is 322601660627. The next prime is 322601660659. The reversal of 322601660640 is 46066106223.

322601660640 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 0 + 1 + 6 + 6 + 0 + 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 = 322601660595 and 322601660604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295151934 + ... + 295153026.

It is an arithmetic number, because the mean of its divisors is an integer number (1532136060).

Almost surely, 2^322601660640 is an apocalyptic number.

322601660640 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 322601660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661882777920).

322601660640 is an abundant number, since it is smaller than the sum of its proper divisors (1001163895200).

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

322601660640 is a wasteful number, since it uses less digits than its factorization.

322601660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1246 counting only the distinct ones).

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

Adding to 322601660640 its reverse (46066106223), we get a palindrome (368667766863).

The spelling of 322601660640 in words is "three hundred twenty-two billion, six hundred one million, six hundred sixty thousand, six hundred forty".