827452833768 has 192 divisors, whose sum is σ = 2599306744320. Its totient is φ = 235013529600.

The previous prime is 827452833763. The next prime is 827452833787. The reversal of 827452833768 is 867338254728.

827452833768 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 528 + 33 + 76 + 8 = 666.

It is a super-2 number, since 2×827452833768² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827452833763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3117321 + ... + 3372327.

It is an arithmetic number, because the mean of its divisors is an integer number (13538055960).

Almost surely, 2^827452833768 is an apocalyptic number.

827452833768 is a gapful number since it is divisible by the number (88) 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 827452833768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299653372160).

827452833768 is an abundant number, since it is smaller than the sum of its proper divisors (1771853910552).

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

827452833768 is a wasteful number, since it uses less digits than its factorization.

827452833768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255288 (or 255281 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 827452833768 in words is "eight hundred twenty-seven billion, four hundred fifty-two million, eight hundred thirty-three thousand, seven hundred sixty-eight".