3640084728768 has 84 divisors (see below), whose sum is σ = 11047389528240. Its totient is φ = 1141987362816.

The previous prime is 3640084728743. The next prime is 3640084728793. The reversal of 3640084728768 is 8678274800463.

3640084728768 is a `hidden beast` number, since 3 + 6 + 400 + 84 + 72 + 87 + 6 + 8 = 666.

3640084728768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3640084728743) and next prime (3640084728793).

It is a super-4 number, since 4×3640084728768⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185860548 + ... + 185880131.

Almost surely, 2^{3640084728768} is an apocalyptic number.

It is an amenable number.

3640084728768 is an abundant number, since it is smaller than the sum of its proper divisors (7407304799472).

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

3640084728768 is a wasteful number, since it uses less digits than its factorization.

3640084728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371740714 (or 371740701 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 3640084728768 in words is "three trillion, six hundred forty billion, eighty-four million, seven hundred twenty-eight thousand, seven hundred sixty-eight".