329307612480 has 1680 divisors, whose sum is σ = 1508038209216. Its totient is φ = 67722117120.

The previous prime is 329307612461. The next prime is 329307612481. The reversal of 329307612480 is 84216703923.

329307612480 is a `hidden beast` number, since 3 + 2 + 93 + 0 + 76 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329307612481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3394923792 + ... + 3394923888.

Almost surely, 2^329307612480 is an apocalyptic number.

329307612480 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 329307612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754019104608).

329307612480 is an abundant number, since it is smaller than the sum of its proper divisors (1178730596736).

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

329307612480 is an frugal number, since it uses more digits than its factorization.

329307612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 329307612480 in words is "three hundred twenty-nine billion, three hundred seven million, six hundred twelve thousand, four hundred eighty".