823649729664 has 128 divisors (see below), whose sum is σ = 2266397078400. Its totient is φ = 264715444224.

The previous prime is 823649729641. The next prime is 823649729671. The reversal of 823649729664 is 466927946328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 823649729595 and 823649729604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8045004 + ... + 8146740.

It is an arithmetic number, because the mean of its divisors is an integer number (17706227175).

Almost surely, 2^823649729664 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 823649729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133198539200).

823649729664 is an abundant number, since it is smaller than the sum of its proper divisors (1442747348736).

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

823649729664 is a wasteful number, since it uses less digits than its factorization.

823649729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102510 (or 102498 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 66.

The spelling of 823649729664 in words is "eight hundred twenty-three billion, six hundred forty-nine million, seven hundred twenty-nine thousand, six hundred sixty-four".