827766964224 has 512 divisors, whose sum is σ = 2536676352000. Its totient is φ = 266652352512.

The previous prime is 827766964163. The next prime is 827766964229. The reversal of 827766964224 is 422469667728.

827766964224 is a `hidden beast` number, since 82 + 7 + 76 + 69 + 6 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

Its product of digits (97542144) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827766964229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5955157947 + ... + 5955158085.

It is an arithmetic number, because the mean of its divisors is an integer number (4954446000).

Almost surely, 2^827766964224 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 827766964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268338176000).

827766964224 is an abundant number, since it is smaller than the sum of its proper divisors (1708909387776).

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

827766964224 is a wasteful number, since it uses less digits than its factorization.

827766964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 827766964224 in words is "eight hundred twenty-seven billion, seven hundred sixty-six million, nine hundred sixty-four thousand, two hundred twenty-four".