1327672584576 has 384 divisors, whose sum is σ = 4482774458400. Its totient is φ = 384480608256.

The previous prime is 1327672584571. The next prime is 1327672584613. The reversal of 1327672584576 is 6754852767231.

It is a happy number.

1327672584576 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 7 + 2 + 58 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327672584571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12933066 + ... + 13035318.

Almost surely, 2^{1327672584576} is an apocalyptic number.

1327672584576 is a gapful number since it is divisible by the number (16) 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 1327672584576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241387229200).

1327672584576 is an abundant number, since it is smaller than the sum of its proper divisors (3155101873824).

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

1327672584576 is a wasteful number, since it uses less digits than its factorization.

1327672584576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102323 (or 102288 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 1327672584576 in words is "one trillion, three hundred twenty-seven billion, six hundred seventy-two million, five hundred eighty-four thousand, five hundred seventy-six".