827948992608 has 96 divisors (see below), whose sum is σ = 2416864957920. Its totient is φ = 275752857600.

The previous prime is 827948992597. The next prime is 827948992609. The reversal of 827948992608 is 806299849728.

827948992608 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 4 + 8 + 9 + 9 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (827948992609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638716 + ... + 1436612.

It is an arithmetic number, because the mean of its divisors is an integer number (25175676645).

Almost surely, 2^827948992608 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 827948992608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208432478960).

827948992608 is an abundant number, since it is smaller than the sum of its proper divisors (1588915965312).

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

827948992608 is a wasteful number, since it uses less digits than its factorization.

827948992608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799117 (or 799103 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 827948992608 in words is "eight hundred twenty-seven billion, nine hundred forty-eight million, nine hundred ninety-two thousand, six hundred eight".