823667539968 has 1440 divisors, whose sum is σ = 3179604825600. Its totient is φ = 208684449792.

The previous prime is 823667539901. The next prime is 823667539997. The reversal of 823667539968 is 869935766328.

823667539968 is a `hidden beast` number, since 8 + 23 + 6 + 6 + 7 + 539 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (705438720) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 823667539896 and 823667539905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10426171353 + ... + 10426171431.

Almost surely, 2^823667539968 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 823667539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589802412800).

823667539968 is an abundant number, since it is smaller than the sum of its proper divisors (2355937285632).

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

823667539968 is a wasteful number, since it uses less digits than its factorization.

823667539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 823667539968 in words is "eight hundred twenty-three billion, six hundred sixty-seven million, five hundred thirty-nine thousand, nine hundred sixty-eight".