329472000000 has 1260 divisors, whose sum is σ = 1397699452968. Its totient is φ = 73728000000.

The previous prime is 329471999993. The next prime is 329472000007. The reversal of 329472000000 is 274923.

It is an interprime number because it is at equal distance from previous prime (329471999993) and next prime (329472000007).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10000 × 9360 × 3520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329472000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25343999994 + ... + 25344000006.

Almost surely, 2^329472000000 is an apocalyptic number.

329472000000 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 329472000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698849726484).

329472000000 is an abundant number, since it is smaller than the sum of its proper divisors (1068227452968).

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

329472000000 is an frugal number, since it uses more digits than its factorization.

329472000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 329472000000 its reverse (274923), we get a palindrome (329472274923).

The spelling of 329472000000 in words is "three hundred twenty-nine billion, four hundred seventy-two million", and thus it is an aban number.