829649664 has 54 divisors (see below), whose sum is σ = 2392091156. Its totient is φ = 276549120.

The previous prime is 829649663. The next prime is 829649693. The reversal of 829649664 is 466946928.

829649664 is a `hidden beast` number, since 8 + 2 + 96 + 496 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 829649664.

It is not an unprimeable number, because it can be changed into a prime (829649663) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 177742 + ... + 182349.

Almost surely, 2^829649664 is an apocalyptic number.

It is an amenable number.

829649664 is an abundant number, since it is smaller than the sum of its proper divisors (1562441492).

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

829649664 is a wasteful number, since it uses less digits than its factorization.

829649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360113 (or 360096 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 829649664 is about 28803.6397700013. The cubic root of 829649664 is about 939.6473945343.

The spelling of 829649664 in words is "eight hundred twenty-nine million, six hundred forty-nine thousand, six hundred sixty-four".