827676682560 has 2688 divisors, whose sum is σ = 3985791473664. Its totient is φ = 152599265280.

The previous prime is 827676682457. The next prime is 827676682571. The reversal of 827676682560 is 65286676728.

827676682560 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 7 + 6 + 68 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4201404382 + ... + 4201404578.

It is an arithmetic number, because the mean of its divisors is an integer number (1482809328).

Almost surely, 2^827676682560 is an apocalyptic number.

827676682560 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 827676682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992895736832).

827676682560 is an abundant number, since it is smaller than the sum of its proper divisors (3158114791104).

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

827676682560 is a wasteful number, since it uses less digits than its factorization.

827676682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 827676682560 in words is "eight hundred twenty-seven billion, six hundred seventy-six million, six hundred eighty-two thousand, five hundred sixty".