329008711680 has 768 divisors, whose sum is σ = 1283898470400. Its totient is φ = 79257600000.

The previous prime is 329008711667. The next prime is 329008711687. The reversal of 329008711680 is 86117800923.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×329008711680² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (329008711687) 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 63 ways as a sum of consecutive naturals, for example, 763361065 + ... + 763361495.

It is an arithmetic number, because the mean of its divisors is an integer number (1671742800).

Almost surely, 2^329008711680 is an apocalyptic number.

329008711680 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 329008711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641949235200).

329008711680 is an abundant number, since it is smaller than the sum of its proper divisors (954889758720).

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

329008711680 is a wasteful number, since it uses less digits than its factorization.

329008711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 329008711680 in words is "three hundred twenty-nine billion, eight million, seven hundred eleven thousand, six hundred eighty".