327150813047040 has 1152 divisors, whose sum is σ = 1184626579046400. Its totient is φ = 85477016862720.

The previous prime is 327150813046927. The next prime is 327150813047053. The reversal of 327150813047040 is 40740318051723.

327150813047040 is a `hidden beast` number, since 3 + 2 + 7 + 1 + 5 + 0 + 8 + 130 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389929454941 + ... + 389929455779.

It is an arithmetic number, because the mean of its divisors is an integer number (1028321683200).

Almost surely, 2^{327150813047040} is an apocalyptic number.

327150813047040 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 327150813047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592313289523200).

327150813047040 is an abundant number, since it is smaller than the sum of its proper divisors (857475765999360).

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

327150813047040 is a wasteful number, since it uses less digits than its factorization.

327150813047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1720 counting only the distinct ones).

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

The spelling of 327150813047040 in words is "three hundred twenty-seven trillion, one hundred fifty billion, eight hundred thirteen million, forty-seven thousand, forty".