323140709263680 has 1512 divisors, whose sum is σ = 1495957952492640. Its totient is φ = 63612051148800.

The previous prime is 323140709263679. The next prime is 323140709263681. The reversal of 323140709263680 is 86362907041323.

323140709263680 is a `hidden beast` number, since 3 + 2 + 31 + 407 + 0 + 92 + 63 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (323140709263679) and next prime (323140709263681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323140709263681) by changing a digit.

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, 323936875 + ... + 324932885.

It is an arithmetic number, because the mean of its divisors is an integer number (989390180220).

Almost surely, 2^{323140709263680} is an apocalyptic number.

323140709263680 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 323140709263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747978976246320).

323140709263680 is an abundant number, since it is smaller than the sum of its proper divisors (1172817243228960).

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

323140709263680 is a wasteful number, since it uses less digits than its factorization.

323140709263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996089 (or 996058 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 323140709263680 in words is "three hundred twenty-three trillion, one hundred forty billion, seven hundred nine million, two hundred sixty-three thousand, six hundred eighty".