327890516400 has 480 divisors, whose sum is σ = 1231230124800. Its totient is φ = 82649548800.

The previous prime is 327890516389. The next prime is 327890516417. The reversal of 327890516400 is 4615098723.

327890516400 is a `hidden beast` number, since 3 + 2 + 7 + 8 + 90 + 516 + 40 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 106907667 + ... + 106910733.

It is an arithmetic number, because the mean of its divisors is an integer number (2565062760).

It is a 1-persistent number, because it is pandigital, but 2⋅327890516400 = 655781032800 is not.

Almost surely, 2^327890516400 is an apocalyptic number.

327890516400 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 327890516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615615062400).

327890516400 is an abundant number, since it is smaller than the sum of its proper divisors (903339608400).

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

327890516400 is a wasteful number, since it uses less digits than its factorization.

327890516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 327890516400 in words is "three hundred twenty-seven billion, eight hundred ninety million, five hundred sixteen thousand, four hundred".