827793478656 has 880 divisors, whose sum is σ = 2702760544000. Its totient is φ = 251539292160.

The previous prime is 827793478651. The next prime is 827793478679. The reversal of 827793478656 is 656874397728.

827793478656 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 93 + 478 + 65 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827793478651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7594435530 + ... + 7594435638.

It is an arithmetic number, because the mean of its divisors is an integer number (3071318800).

Almost surely, 2^827793478656 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 827793478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351380272000).

827793478656 is an abundant number, since it is smaller than the sum of its proper divisors (1874967065344).

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

827793478656 is a wasteful number, since it uses less digits than its factorization.

827793478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

It can be divided in two parts, 827793 and 478656, that added together give a square (1306449 = 1143²).

The spelling of 827793478656 in words is "eight hundred twenty-seven billion, seven hundred ninety-three million, four hundred seventy-eight thousand, six hundred fifty-six".