327480431040 has 336 divisors, whose sum is σ = 1355064721920. Its totient is φ = 70912972800.

The previous prime is 327480430993. The next prime is 327480431051. The reversal of 327480431040 is 40134084723.

327480431040 is a `hidden beast` number, since 32 + 7 + 480 + 43 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 327480430986 and 327480431004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44436 + ... + 810515.

It is an arithmetic number, because the mean of its divisors is an integer number (4032930720).

Almost surely, 2^327480431040 is an apocalyptic number.

327480431040 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 327480431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677532360960).

327480431040 is an abundant number, since it is smaller than the sum of its proper divisors (1027584290880).

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

327480431040 is a wasteful number, since it uses less digits than its factorization.

327480431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855000 (or 854987 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 327480431040 in words is "three hundred twenty-seven billion, four hundred eighty million, four hundred thirty-one thousand, forty".