764468686080 has 2304 divisors, whose sum is σ = 3382273843200. Its totient is φ = 161163509760.

The previous prime is 764468686061. The next prime is 764468686087. The reversal of 764468686080 is 80686864467.

764468686080 is a `hidden beast` number, since 76 + 446 + 8 + 68 + 60 + 8 + 0 = 666.

764468686080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 764468685999 and 764468686017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764468686087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5499774651 + ... + 5499774789.

It is an arithmetic number, because the mean of its divisors is an integer number (1468000800).

Almost surely, 2^764468686080 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 764468686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691136921600).

764468686080 is an abundant number, since it is smaller than the sum of its proper divisors (2617805157120).

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

764468686080 is a wasteful number, since it uses less digits than its factorization.

764468686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 764468686080 in words is "seven hundred sixty-four billion, four hundred sixty-eight million, six hundred eighty-six thousand, eighty".