766768066560 has 832 divisors, whose sum is σ = 2885161144320. Its totient is φ = 192872448000.

The previous prime is 766768066501. The next prime is 766768066573. The reversal of 766768066560 is 65660867667.

766768066560 is a `hidden beast` number, since 7 + 6 + 6 + 7 + 6 + 8 + 0 + 66 + 560 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702811615 + ... + 702812705.

It is an arithmetic number, because the mean of its divisors is an integer number (3467741760).

Almost surely, 2^766768066560 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 766768066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442580572160).

766768066560 is an abundant number, since it is smaller than the sum of its proper divisors (2118393077760).

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

766768066560 is a wasteful number, since it uses less digits than its factorization.

766768066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 766768066560 in words is "seven hundred sixty-six billion, seven hundred sixty-eight million, sixty-six thousand, five hundred sixty".