328507695360 has 1440 divisors, whose sum is σ = 1368671230080. Its totient is φ = 74816815104.

The previous prime is 328507695353. The next prime is 328507695367. The reversal of 328507695360 is 63596705823.

It is a happy number.

328507695360 is a `hidden beast` number, since 3 + 28 + 507 + 6 + 9 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (328507695353) and next prime (328507695367).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 328507695297 and 328507695306.

It is not an unprimeable number, because it can be changed into a prime (328507695367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5567927011 + ... + 5567927069.

It is an arithmetic number, because the mean of its divisors is an integer number (950466132).

Almost surely, 2^328507695360 is an apocalyptic number.

328507695360 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 328507695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684335615040).

328507695360 is an abundant number, since it is smaller than the sum of its proper divisors (1040163534720).

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

328507695360 is an frugal number, since it uses more digits than its factorization.

328507695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 328507695360 in words is "three hundred twenty-eight billion, five hundred seven million, six hundred ninety-five thousand, three hundred sixty".