329663993472 has 256 divisors, whose sum is σ = 1123856726400. Its totient is φ = 94021632000.

The previous prime is 329663993471. The next prime is 329663993473. The reversal of 329663993472 is 274399366923.

It is an interprime number because it is at equal distance from previous prime (329663993471) and next prime (329663993473).

It is a super-2 number, since 2×329663993472² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (329663993471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391222 + ... + 901322.

Almost surely, 2^329663993472 is an apocalyptic number.

329663993472 is a gapful number since it is divisible by the number (32) 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 329663993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561928363200).

329663993472 is an abundant number, since it is smaller than the sum of its proper divisors (794192732928).

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

329663993472 is a wasteful number, since it uses less digits than its factorization.

329663993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510152 (or 510134 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 63.

The spelling of 329663993472 in words is "three hundred twenty-nine billion, six hundred sixty-three million, nine hundred ninety-three thousand, four hundred seventy-two".