2733965641728 has 288 divisors, whose sum is σ = 8342086334400. Its totient is φ = 860210233344.

The previous prime is 2733965641721. The next prime is 2733965641739. The reversal of 2733965641728 is 8271465693372.

It is a happy number.

2733965641728 is a `hidden beast` number, since 2 + 7 + 3 + 39 + 6 + 564 + 17 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2733965641721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96993525 + ... + 97021707.

It is an arithmetic number, because the mean of its divisors is an integer number (28965577550).

Almost surely, 2^{2733965641728} 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 2733965641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171043167200).

2733965641728 is an abundant number, since it is smaller than the sum of its proper divisors (5608120692672).

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

2733965641728 is a wasteful number, since it uses less digits than its factorization.

2733965641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28507 (or 28484 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 2733965641728 in words is "two trillion, seven hundred thirty-three billion, nine hundred sixty-five million, six hundred forty-one thousand, seven hundred twenty-eight".