329482242661824 has 896 divisors, whose sum is σ = 1211509013299200. Its totient is φ = 85629421486080.

The previous prime is 329482242661787. The next prime is 329482242661879. The reversal of 329482242661824 is 428166242284923.

329482242661824 is a `hidden beast` number, since 3 + 2 + 9 + 4 + 8 + 2 + 2 + 4 + 2 + 6 + 618 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4902027642 + ... + 4902094854.

It is an arithmetic number, because the mean of its divisors is an integer number (1352130595200).

Almost surely, 2^{329482242661824} is an apocalyptic number.

329482242661824 is a gapful number since it is divisible by the number (34) 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 329482242661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605754506649600).

329482242661824 is an abundant number, since it is smaller than the sum of its proper divisors (882026770637376).

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

329482242661824 is a wasteful number, since it uses less digits than its factorization.

329482242661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68058 (or 68042 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 329482242661824 in words is "three hundred twenty-nine trillion, four hundred eighty-two billion, two hundred forty-two million, six hundred sixty-one thousand, eight hundred twenty-four".