3640084728769 has 12 divisors (see below), whose sum is σ = 3800469028860. Its totient is φ = 3482320524480.

The previous prime is 3640084728743. The next prime is 3640084728793. The reversal of 3640084728769 is 9678274800463.

It can be written as a sum of positive squares in 6 ways, for example, as 75963628225 + 3564121100544 = 275615^2 + 1887888^2 .

It is not a de Polignac number, because 3640084728769 - 2⁵ = 3640084728737 is a prime.

It is a super-2 number, since 2×3640084728769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3640084728769.

It is not an unprimeable number, because it can be changed into a prime (3640084728869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4937842 + ... + 5626939.

It is an arithmetic number, because the mean of its divisors is an integer number (316705752405).

Almost surely, 2^{3640084728769} is an apocalyptic number.

It is an amenable number.

3640084728769 is a deficient number, since it is larger than the sum of its proper divisors (160384300091).

3640084728769 is a wasteful number, since it uses less digits than its factorization.

3640084728769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565028 (or 10564919 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 3640084728769 in words is "three trillion, six hundred forty billion, eighty-four million, seven hundred twenty-eight thousand, seven hundred sixty-nine".