768634163280 has 120 divisors (see below), whose sum is σ = 2670341174280. Its totient is φ = 197901204480.

The previous prime is 768634163267. The next prime is 768634163281. The reversal of 768634163280 is 82361436867.

768634163280 is a `hidden beast` number, since 7 + 68 + 63 + 416 + 32 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 323574394896 + 445059768384 = 568836^2 + 667128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×768634163280² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768634163281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18385111 + ... + 18426870.

It is an arithmetic number, because the mean of its divisors is an integer number (22252843119).

Almost surely, 2^768634163280 is an apocalyptic number.

It is an amenable number.

768634163280 is an abundant number, since it is smaller than the sum of its proper divisors (1901707011000).

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

768634163280 is a wasteful number, since it uses less digits than its factorization.

768634163280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36812029 (or 36812020 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 768634163280 in words is "seven hundred sixty-eight billion, six hundred thirty-four million, one hundred sixty-three thousand, two hundred eighty".