827360403408 has 1600 divisors, whose sum is σ = 3325126464000. Its totient is φ = 196059709440.

The previous prime is 827360403343. The next prime is 827360403409. The reversal of 827360403408 is 804304063728.

827360403408 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 604 + 0 + 34 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827360403409) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3075689098 + ... + 3075689366.

It is an arithmetic number, because the mean of its divisors is an integer number (2078204040).

Almost surely, 2^827360403408 is an apocalyptic number.

827360403408 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 827360403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662563232000).

827360403408 is an abundant number, since it is smaller than the sum of its proper divisors (2497766060592).

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

827360403408 is a wasteful number, since it uses less digits than its factorization.

827360403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 827360403408 in words is "eight hundred twenty-seven billion, three hundred sixty million, four hundred three thousand, four hundred eight".