327225104640 has 864 divisors, whose sum is σ = 1369798536960. Its totient is φ = 73741860864.

The previous prime is 327225104611. The next prime is 327225104653. The reversal of 327225104640 is 46401522723.

327225104640 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 2 + 5 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 327225104595 and 327225104604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123619797 + ... + 123622443.

Almost surely, 2^327225104640 is an apocalyptic number.

327225104640 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 327225104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684899268480).

327225104640 is an abundant number, since it is smaller than the sum of its proper divisors (1042573432320).

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

327225104640 is a wasteful number, since it uses less digits than its factorization.

327225104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 327225104640 in words is "three hundred twenty-seven billion, two hundred twenty-five million, one hundred four thousand, six hundred forty".