766335580009920 has 168 divisors, whose sum is σ = 2675216508651024. Its totient is φ = 201306062757888.

The previous prime is 766335580009889. The next prime is 766335580009921. The reversal of 766335580009920 is 29900085533667.

766335580009920 is a `hidden beast` number, since 76 + 6 + 3 + 3 + 558 + 0 + 0 + 0 + 9 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766335580009921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1985543929 + ... + 1985929848.

Almost surely, 2^{766335580009920} is an apocalyptic number.

It is an amenable number.

766335580009920 is an abundant number, since it is smaller than the sum of its proper divisors (1908880928641104).

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

766335580009920 is a wasteful number, since it uses less digits than its factorization.

766335580009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971473867 (or 3971473854 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 766335580009920 in words is "seven hundred sixty-six trillion, three hundred thirty-five billion, five hundred eighty million, nine thousand, nine hundred twenty".