765609920266464 has 1152 divisors, whose sum is σ = 2891932167720960. Its totient is φ = 195116511744000.

The previous prime is 765609920266459. The next prime is 765609920266483. The reversal of 765609920266464 is 464662029906567.

765609920266464 is a `hidden beast` number, since 7 + 6 + 5 + 609 + 9 + 2 + 0 + 2 + 6 + 6 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 765609920266392 and 765609920266401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11652908814 + ... + 11652974514.

It is an arithmetic number, because the mean of its divisors is an integer number (2510357784480).

Almost surely, 2^{765609920266464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765609920266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445966083860480).

765609920266464 is an abundant number, since it is smaller than the sum of its proper divisors (2126322247454496).

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

765609920266464 is a wasteful number, since it uses less digits than its factorization.

765609920266464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66461 (or 66440 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 765609920266464 in words is "seven hundred sixty-five trillion, six hundred nine billion, nine hundred twenty million, two hundred sixty-six thousand, four hundred sixty-four".