327606921900 has 360 divisors, whose sum is σ = 1075432105440. Its totient is φ = 86260930560.

The previous prime is 327606921857. The next prime is 327606921907. The reversal of 327606921900 is 9129606723.

It is a happy number.

327606921900 is a `hidden beast` number, since 3 + 27 + 606 + 9 + 2 + 19 + 0 + 0 = 666.

It is a super-2 number, since 2×327606921900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (327606921907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 328592202 + ... + 328593198.

It is an arithmetic number, because the mean of its divisors is an integer number (2987311404).

Almost surely, 2^327606921900 is an apocalyptic number.

327606921900 is a gapful number since it is divisible by the number (30) 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 327606921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537716052720).

327606921900 is an abundant number, since it is smaller than the sum of its proper divisors (747825183540).

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

327606921900 is a wasteful number, since it uses less digits than its factorization.

327606921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 327606921900 in words is "three hundred twenty-seven billion, six hundred six million, nine hundred twenty-one thousand, nine hundred".