327135744000 has 1248 divisors, whose sum is σ = 1309771567104. Its totient is φ = 78033715200.

The previous prime is 327135743999. The next prime is 327135744007. The reversal of 327135744000 is 447531723.

327135744000 is a `hidden beast` number, since 32 + 7 + 13 + 574 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327135744007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2575871937 + ... + 2575872063.

It is an arithmetic number, because the mean of its divisors is an integer number (1049496448).

Almost surely, 2^327135744000 is an apocalyptic number.

327135744000 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 327135744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654885783552).

327135744000 is an abundant number, since it is smaller than the sum of its proper divisors (982635823104).

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

327135744000 is a wasteful number, since it uses less digits than its factorization.

327135744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 327135744000 in words is "three hundred twenty-seven billion, one hundred thirty-five million, seven hundred forty-four thousand".