327925832832 has 384 divisors, whose sum is σ = 1087903864320. Its totient is φ = 97641676800.

The previous prime is 327925832797. The next prime is 327925832849. The reversal of 327925832832 is 238238529723.

It is a happy number.

327925832832 is a `hidden beast` number, since 3 + 2 + 7 + 9 + 2 + 583 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12521832 + ... + 12547992.

It is an arithmetic number, because the mean of its divisors is an integer number (2833082980).

Almost surely, 2^327925832832 is an apocalyptic number.

327925832832 is a gapful number since it is divisible by the number (32) 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 327925832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543951932160).

327925832832 is an abundant number, since it is smaller than the sum of its proper divisors (759978031488).

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

327925832832 is a wasteful number, since it uses less digits than its factorization.

327925832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26234 (or 26210 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 327925832832 in words is "three hundred twenty-seven billion, nine hundred twenty-five million, eight hundred thirty-two thousand, eight hundred thirty-two".