768463598822976 has 567 divisors, whose sum is σ = 2581160582208897. Its totient is φ = 217954974182400.

The previous prime is 768463598822923. The next prime is 768463598823013. The reversal of 768463598822976 is 679228895364867.

The square root of 768463598822976 is 27721176.

It is a perfect power (a square), and thus also a powerful number.

768463598822976 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 6 + 3 + 598 + 8 + 2 + 2 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 225248468558400 + 543215130264576 = 15008280^2 + 23306976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 731173737651 + ... + 731173738701.

Almost surely, 2^{768463598822976} is an apocalyptic number.

768463598822976 is the 27721176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768463598822976

768463598822976 is an abundant number, since it is smaller than the sum of its proper divisors (1812696983385921).

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

768463598822976 is an equidigital number, since it uses as much as digits as its factorization.

768463598822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 1220 counting only the distinct ones).

The product of its digits is 105345515520, while the sum is 90.

The spelling of 768463598822976 in words is "seven hundred sixty-eight trillion, four hundred sixty-three billion, five hundred ninety-eight million, eight hundred twenty-two thousand, nine hundred seventy-six".