329334128640 has 960 divisors, whose sum is σ = 1319090572800. Its totient is φ = 78139883520.

The previous prime is 329334128531. The next prime is 329334128663. The reversal of 329334128640 is 46821433923.

329334128640 is a `hidden beast` number, since 3 + 29 + 3 + 341 + 286 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7007109097 + ... + 7007109143.

It is an arithmetic number, because the mean of its divisors is an integer number (1374052680).

Almost surely, 2^329334128640 is an apocalyptic number.

329334128640 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 329334128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659545286400).

329334128640 is an abundant number, since it is smaller than the sum of its proper divisors (989756444160).

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

329334128640 is an frugal number, since it uses more digits than its factorization.

329334128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 329334128640 in words is "three hundred twenty-nine billion, three hundred thirty-four million, one hundred twenty-eight thousand, six hundred forty".