8198517327840 has 768 divisors, whose sum is σ = 33935086080000. Its totient is φ = 1847529492480.

The previous prime is 8198517327773. The next prime is 8198517327881. The reversal of 8198517327840 is 487237158918.

8198517327840 is a `hidden beast` number, since 8 + 1 + 9 + 8 + 517 + 3 + 2 + 78 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105165996 + ... + 105243924.

It is an arithmetic number, because the mean of its divisors is an integer number (44186310000).

Almost surely, 2^{8198517327840} is an apocalyptic number.

8198517327840 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 8198517327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967543040000).

8198517327840 is an abundant number, since it is smaller than the sum of its proper divisors (25736568752160).

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

8198517327840 is a wasteful number, since it uses less digits than its factorization.

8198517327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78045 (or 78017 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 8198517327840 in words is "eight trillion, one hundred ninety-eight billion, five hundred seventeen million, three hundred twenty-seven thousand, eight hundred forty".