5763934564128 has 72 divisors (see below), whose sum is σ = 17652049614108. Its totient is φ = 1773518326272.

The previous prime is 5763934564123. The next prime is 5763934564169. The reversal of 5763934564128 is 8214654393675.

5763934564128 is a `hidden beast` number, since 5 + 7 + 6 + 39 + 34 + 564 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5145402649104 + 618531915024 = 2268348^2 + 786468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5763934564123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769752475 + ... + 769759962.

Almost surely, 2^{5763934564128} is an apocalyptic number.

It is an amenable number.

5763934564128 is an abundant number, since it is smaller than the sum of its proper divisors (11888115049980).

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

5763934564128 is a wasteful number, since it uses less digits than its factorization.

5763934564128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539512466 (or 1539512455 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 5763934564128 in words is "five trillion, seven hundred sixty-three billion, nine hundred thirty-four million, five hundred sixty-four thousand, one hundred twenty-eight".