3273145681664 has 72 divisors (see below), whose sum is σ = 6694358704992. Its totient is φ = 1596298772480.

The previous prime is 3273145681643. The next prime is 3273145681693. The reversal of 3273145681664 is 4661865413723.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50274797 + ... + 50339859.

It is an arithmetic number, because the mean of its divisors is an integer number (92977204236).

Almost surely, 2^{3273145681664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3273145681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347179352496).

3273145681664 is an abundant number, since it is smaller than the sum of its proper divisors (3421213023328).

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

3273145681664 is an equidigital number, since it uses as much as digits as its factorization.

3273145681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69913 (or 69899 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The spelling of 3273145681664 in words is "three trillion, two hundred seventy-three billion, one hundred forty-five million, six hundred eighty-one thousand, six hundred sixty-four".