329989476960 has 720 divisors, whose sum is σ = 1378637357328. Its totient is φ = 73839237120.

The previous prime is 329989476953. The next prime is 329989476983. The reversal of 329989476960 is 69674989923.

329989476960 is a `hidden beast` number, since 3 + 2 + 9 + 98 + 9 + 476 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 20377987 + ... + 20394173.

Almost surely, 2^329989476960 is an apocalyptic number.

329989476960 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 329989476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689318678664).

329989476960 is an abundant number, since it is smaller than the sum of its proper divisors (1048647880368).

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

329989476960 is a wasteful number, since it uses less digits than its factorization.

329989476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16249 (or 16221 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 329989476960 in words is "three hundred twenty-nine billion, nine hundred eighty-nine million, four hundred seventy-six thousand, nine hundred sixty".