827933736960 has 1440 divisors, whose sum is σ = 3435030144000. Its totient is φ = 189191946240.

The previous prime is 827933736947. The next prime is 827933736997. The reversal of 827933736960 is 69637339728.

827933736960 is a `hidden beast` number, since 82 + 79 + 3 + 373 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4160470941 + ... + 4160471139.

It is an arithmetic number, because the mean of its divisors is an integer number (2385437600).

Almost surely, 2^827933736960 is an apocalyptic number.

827933736960 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 827933736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717515072000).

827933736960 is an abundant number, since it is smaller than the sum of its proper divisors (2607096407040).

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

827933736960 is a wasteful number, since it uses less digits than its factorization.

827933736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 827933736960 in words is "eight hundred twenty-seven billion, nine hundred thirty-three million, seven hundred thirty-six thousand, nine hundred sixty".