766475441680 has 160 divisors (see below), whose sum is σ = 2020795660800. Its totient is φ = 268024743936.

The previous prime is 766475441651. The next prime is 766475441681. The reversal of 766475441680 is 86144574667.

766475441680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (766475441681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111581286 + ... + 111588154.

It is an arithmetic number, because the mean of its divisors is an integer number (12629972880).

Almost surely, 2^766475441680 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 766475441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010397830400).

766475441680 is an abundant number, since it is smaller than the sum of its proper divisors (1254320219120).

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

766475441680 is a wasteful number, since it uses less digits than its factorization.

766475441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 766475441680 in words is "seven hundred sixty-six billion, four hundred seventy-five million, four hundred forty-one thousand, six hundred eighty".