329829678864 has 675 divisors, whose sum is σ = 1158761031813. Its totient is φ = 90308784384.

The previous prime is 329829678853. The next prime is 329829678901. The reversal of 329829678864 is 468876928923.

The square root of 329829678864 is 574308.

It is a perfect power (a square), and thus also a powerful number.

329829678864 is a `hidden beast` number, since 329 + 8 + 296 + 7 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 237773264400 + 92056414464 = 487620^2 + 303408^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (501645312) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 329829678792 and 329829678801.

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 134 ways as a sum of consecutive naturals, for example, 6223201462 + ... + 6223201514.

Almost surely, 2^329829678864 is an apocalyptic number.

329829678864 is the 574308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329829678864

329829678864 is an abundant number, since it is smaller than the sum of its proper divisors (828931352949).

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

329829678864 is an equidigital number, since it uses as much as digits as its factorization.

329829678864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 108 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 329829678864 in words is "three hundred twenty-nine billion, eight hundred twenty-nine million, six hundred seventy-eight thousand, eight hundred sixty-four".