327401572680 has 768 divisors, whose sum is σ = 1459670284800. Its totient is φ = 61590896640.

The previous prime is 327401572657. The next prime is 327401572681. The reversal of 327401572680 is 86275104723.

327401572680 is a `hidden beast` number, since 3 + 2 + 74 + 0 + 1 + 572 + 6 + 8 + 0 = 666.

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 (327401572681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10566010 + ... + 10596950.

It is an arithmetic number, because the mean of its divisors is an integer number (1900612350).

Almost surely, 2^327401572680 is an apocalyptic number.

327401572680 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 327401572680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729835142400).

327401572680 is an abundant number, since it is smaller than the sum of its proper divisors (1132268712120).

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

327401572680 is a wasteful number, since it uses less digits than its factorization.

327401572680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31014 (or 31007 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 327401572680 in words is "three hundred twenty-seven billion, four hundred one million, five hundred seventy-two thousand, six hundred eighty".