329989956480 has 576 divisors, whose sum is σ = 1197913438800. Its totient is φ = 86910050304.

The previous prime is 329989956409. The next prime is 329989956481. The reversal of 329989956480 is 84659989923.

329989956480 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 8 + 99 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 329989956399 and 329989956408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329989956481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373714119 + ... + 373715001.

Almost surely, 2^329989956480 is an apocalyptic number.

329989956480 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 329989956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598956719400).

329989956480 is an abundant number, since it is smaller than the sum of its proper divisors (867923482320).

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

329989956480 is an frugal number, since it uses more digits than its factorization.

329989956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 329989956480 in words is "three hundred twenty-nine billion, nine hundred eighty-nine million, nine hundred fifty-six thousand, four hundred eighty".