328065099747840 has 1440 divisors, whose sum is σ = 1452094225021440. Its totient is φ = 69217808449536.

The previous prime is 328065099747799. The next prime is 328065099747893. The reversal of 328065099747840 is 48747990560823.

328065099747840 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 6 + 509 + 9 + 7 + 4 + 78 + 40 = 666.

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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1528343241 + ... + 1528557879.

It is an arithmetic number, because the mean of its divisors is an integer number (1008398767376).

Almost surely, 2^{328065099747840} is an apocalyptic number.

328065099747840 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 328065099747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726047112510720).

328065099747840 is an abundant number, since it is smaller than the sum of its proper divisors (1124029125273600).

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

328065099747840 is an frugal number, since it uses more digits than its factorization.

328065099747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214706 (or 214669 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 328065099747840 in words is "three hundred twenty-eight trillion, sixty-five billion, ninety-nine million, seven hundred forty-seven thousand, eight hundred forty".