327625523712 has 560 divisors, whose sum is σ = 1021889594880. Its totient is φ = 104808038400.

The previous prime is 327625523707. The next prime is 327625523713. The reversal of 327625523712 is 217325526723.

It is a happy number.

327625523712 is a `hidden beast` number, since 3 + 2 + 7 + 62 + 552 + 37 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (327625523713) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1208950137 + ... + 1208950407.

It is an arithmetic number, because the mean of its divisors is an integer number (1824802848).

Almost surely, 2^327625523712 is an apocalyptic number.

327625523712 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 327625523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510944797440).

327625523712 is an abundant number, since it is smaller than the sum of its proper divisors (694264071168).

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

327625523712 is an frugal number, since it uses more digits than its factorization.

327625523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 327625523712 in words is "three hundred twenty-seven billion, six hundred twenty-five million, five hundred twenty-three thousand, seven hundred twelve".