329530860480 has 224 divisors, whose sum is σ = 1083110091840. Its totient is φ = 84784250880.

The previous prime is 329530860457. The next prime is 329530860497. The reversal of 329530860480 is 84068035923.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49468350 + ... + 49475010.

It is an arithmetic number, because the mean of its divisors is an integer number (4835312910).

Almost surely, 2^329530860480 is an apocalyptic number.

329530860480 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 329530860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541555045920).

329530860480 is an abundant number, since it is smaller than the sum of its proper divisors (753579231360).

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

329530860480 is a wasteful number, since it uses less digits than its factorization.

329530860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 329530860480 in words is "three hundred twenty-nine billion, five hundred thirty million, eight hundred sixty thousand, four hundred eighty".