328853763440640 has 2880 divisors, whose sum is σ = 1323998018703360. Its totient is φ = 78015878922240.

The previous prime is 328853763440627. The next prime is 328853763440647. The reversal of 328853763440640 is 46044367358823.

328853763440640 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 537 + 6 + 34 + 4 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (328853763440647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7647761940459 + ... + 7647761940501.

It is an arithmetic number, because the mean of its divisors is an integer number (459721534272).

Almost surely, 2^{328853763440640} is an apocalyptic number.

328853763440640 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 328853763440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661999009351680).

328853763440640 is an abundant number, since it is smaller than the sum of its proper divisors (995144255262720).

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

328853763440640 is an frugal number, since it uses more digits than its factorization.

328853763440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 328853763440640 in words is "three hundred twenty-eight trillion, eight hundred fifty-three billion, seven hundred sixty-three million, four hundred forty thousand, six hundred forty".