329631465000 has 160 divisors (see below), whose sum is σ = 1030210727040. Its totient is φ = 87864000000.

The previous prime is 329631464999. The next prime is 329631465001. The reversal of 329631465000 is 564136923.

329631465000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (329631464999) and next prime (329631465001).

It is a self number, because there is not a number n which added to its sum of digits gives 329631465000.

It is not an unprimeable number, because it can be changed into a prime (329631465001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63012385 + ... + 63017615.

It is an arithmetic number, because the mean of its divisors is an integer number (6438817044).

Almost surely, 2^329631465000 is an apocalyptic number.

329631465000 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 329631465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515105363520).

329631465000 is an abundant number, since it is smaller than the sum of its proper divisors (700579262040).

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

329631465000 is a wasteful number, since it uses less digits than its factorization.

329631465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 329631465000 in words is "three hundred twenty-nine billion, six hundred thirty-one million, four hundred sixty-five thousand".