327612763296 has 1344 divisors, whose sum is σ = 1263691554048. Its totient is φ = 81266540544.

The previous prime is 327612763277. The next prime is 327612763321. The reversal of 327612763296 is 692367216723.

327612763296 is a `hidden beast` number, since 3 + 27 + 61 + 276 + 3 + 296 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3377451120 + ... + 3377451216.

It is an arithmetic number, because the mean of its divisors is an integer number (940246692).

Almost surely, 2^327612763296 is an apocalyptic number.

327612763296 is a gapful number since it is divisible by the number (36) 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 327612763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631845777024).

327612763296 is an abundant number, since it is smaller than the sum of its proper divisors (936078790752).

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

327612763296 is a wasteful number, since it uses less digits than its factorization.

327612763296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 327612763296 in words is "three hundred twenty-seven billion, six hundred twelve million, seven hundred sixty-three thousand, two hundred ninety-six".