823786536960 has 680 divisors, whose sum is σ = 3029435634456. Its totient is φ = 214035333120.

The previous prime is 823786536931. The next prime is 823786537009. The reversal of 823786536960 is 69635687328.

823786536960 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 8 + 6 + 536 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8074100736 + 815712436224 = 89856^2 + 903168^2 .

It is a super-3 number, since 3×823786536960³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1088224902 + ... + 1088225658.

Almost surely, 2^823786536960 is an apocalyptic number.

823786536960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823786536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514717817228).

823786536960 is an abundant number, since it is smaller than the sum of its proper divisors (2205649097496).

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

823786536960 is an frugal number, since it uses more digits than its factorization.

823786536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 823786536960 in words is "eight hundred twenty-three billion, seven hundred eighty-six million, five hundred thirty-six thousand, nine hundred sixty".