827681264424 has 288 divisors, whose sum is σ = 2700716920200. Its totient is φ = 228056693760.

The previous prime is 827681264323. The next prime is 827681264489. The reversal of 827681264424 is 424462186728.

It is a happy number.

827681264424 is a `hidden beast` number, since 8 + 2 + 76 + 8 + 126 + 442 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 791242272324 + 36438992100 = 889518^2 + 190890^2 .

It is a super-2 number, since 2×827681264424² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96271294 + ... + 96279890.

Almost surely, 2^827681264424 is an apocalyptic number.

827681264424 is a gapful number since it is divisible by the number (84) 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 827681264424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350358460100).

827681264424 is an abundant number, since it is smaller than the sum of its proper divisors (1873035655776).

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

827681264424 is a wasteful number, since it uses less digits than its factorization.

827681264424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9579 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 827681264424 in words is "eight hundred twenty-seven billion, six hundred eighty-one million, two hundred sixty-four thousand, four hundred twenty-four".