327665466540 has 384 divisors, whose sum is σ = 1062575942400. Its totient is φ = 83756851200.

The previous prime is 327665466509. The next prime is 327665466551. The reversal of 327665466540 is 45664566723.

327665466540 is a `hidden beast` number, since 3 + 2 + 76 + 65 + 466 + 54 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 801137856 + ... + 801138264.

It is an arithmetic number, because the mean of its divisors is an integer number (2767124850).

Almost surely, 2^327665466540 is an apocalyptic number.

327665466540 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 327665466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531287971200).

327665466540 is an abundant number, since it is smaller than the sum of its proper divisors (734910475860).

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

327665466540 is a wasteful number, since it uses less digits than its factorization.

327665466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 327665466540 in words is "three hundred twenty-seven billion, six hundred sixty-five million, four hundred sixty-six thousand, five hundred forty".