327536742312 has 256 divisors, whose sum is σ = 1020184704000. Its totient is φ = 96708556800.

The previous prime is 327536742293. The next prime is 327536742341. The reversal of 327536742312 is 213247635723.

327536742312 is a `hidden beast` number, since 3 + 27 + 536 + 74 + 23 + 1 + 2 = 666.

It is a super-2 number, since 2×327536742312² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 6999489 + ... + 7046127.

It is an arithmetic number, because the mean of its divisors is an integer number (3985096500).

Almost surely, 2^327536742312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327536742312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510092352000).

327536742312 is an abundant number, since it is smaller than the sum of its proper divisors (692647961688).

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

327536742312 is a wasteful number, since it uses less digits than its factorization.

327536742312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46769 (or 46759 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 327536742312 in words is "three hundred twenty-seven billion, five hundred thirty-six million, seven hundred forty-two thousand, three hundred twelve".