8198317670400 has 2016 divisors, whose sum is σ = 35824036698240. Its totient is φ = 1834588569600.

The previous prime is 8198317670363. The next prime is 8198317670407. The reversal of 8198317670400 is 40767138918.

8198317670400 is a `hidden beast` number, since 81 + 9 + 83 + 17 + 6 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198317670407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630639820794 + ... + 630639820806.

Almost surely, 2^{8198317670400} is an apocalyptic number.

8198317670400 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 8198317670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912018349120).

8198317670400 is an abundant number, since it is smaller than the sum of its proper divisors (27625719027840).

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

8198317670400 is an frugal number, since it uses more digits than its factorization.

8198317670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 8198317670400 in words is "eight trillion, one hundred ninety-eight billion, three hundred seventeen million, six hundred seventy thousand, four hundred".