766829473344 has 567 divisors, whose sum is σ = 2519956685883. Its totient is φ = 222775027200.

The previous prime is 766829473283. The next prime is 766829473349. The reversal of 766829473344 is 443374928667.

The square root of 766829473344 is 875688.

It is a perfect power (a square), and thus also a powerful number.

766829473344 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 294 + 7 + 334 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (766829473349) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7166630539 + ... + 7166630645.

Almost surely, 2^766829473344 is an apocalyptic number.

766829473344 is the 875688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766829473344

766829473344 is an abundant number, since it is smaller than the sum of its proper divisors (1753127212539).

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

766829473344 is a wasteful number, since it uses less digits than its factorization.

766829473344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 154 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 766829473344 in words is "seven hundred sixty-six billion, eight hundred twenty-nine million, four hundred seventy-three thousand, three hundred forty-four".