827861787648 has 264 divisors, whose sum is σ = 2757010301760. Its totient is φ = 234359930880.

The previous prime is 827861787647. The next prime is 827861787719. The reversal of 827861787648 is 846787168728.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (827861787647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6972943 + ... + 7090673.

It is an arithmetic number, because the mean of its divisors is an integer number (10443220840).

Almost surely, 2^827861787648 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 827861787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378505150880).

827861787648 is an abundant number, since it is smaller than the sum of its proper divisors (1929148514112).

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

827861787648 is a wasteful number, since it uses less digits than its factorization.

827861787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117873 (or 117852 counting only the distinct ones).

The product of its digits is 404619264, while the sum is 72.

The spelling of 827861787648 in words is "eight hundred twenty-seven billion, eight hundred sixty-one million, seven hundred eighty-seven thousand, six hundred forty-eight".