328923742464 has 432 divisors, whose sum is σ = 1042455697920. Its totient is φ = 103255326720.

The previous prime is 328923742451. The next prime is 328923742471. The reversal of 328923742464 is 464247329823.

328923742464 is a `hidden beast` number, since 3 + 28 + 9 + 2 + 374 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 328923742464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73963089 + ... + 73967535.

Almost surely, 2^328923742464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328923742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521227848960).

328923742464 is an abundant number, since it is smaller than the sum of its proper divisors (713531955456).

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

328923742464 is an equidigital number, since it uses as much as digits as its factorization.

328923742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4522 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 328923742464 in words is "three hundred twenty-eight billion, nine hundred twenty-three million, seven hundred forty-two thousand, four hundred sixty-four".