328847493416760 has 192 divisors, whose sum is σ = 1096302163507200. Its totient is φ = 85448770622208.

The previous prime is 328847493416749. The next prime is 328847493416797. The reversal of 328847493416760 is 67614394748823.

328847493416760 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 474 + 9 + 34 + 1 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38968480 + ... + 46650159.

It is an arithmetic number, because the mean of its divisors is an integer number (5709907101600).

Almost surely, 2^{328847493416760} is an apocalyptic number.

328847493416760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328847493416760 is an abundant number, since it is smaller than the sum of its proper divisors (767454670090440).

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

328847493416760 is a wasteful number, since it uses less digits than its factorization.

328847493416760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85618930 (or 85618923 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 328847493416760 in words is "three hundred twenty-eight trillion, eight hundred forty-seven billion, four hundred ninety-three million, four hundred sixteen thousand, seven hundred sixty".