8198837406864 has 480 divisors, whose sum is σ = 26306416281600. Its totient is φ = 2362939776000.

The previous prime is 8198837406853. The next prime is 8198837406871. The reversal of 8198837406864 is 4686047388918.

8198837406864 is a `hidden beast` number, since 8 + 198 + 8 + 374 + 0 + 6 + 8 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8198837406792 and 8198837406801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1240928649 + ... + 1240935255.

It is an arithmetic number, because the mean of its divisors is an integer number (54805033920).

Almost surely, 2^{8198837406864} 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 8198837406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153208140800).

8198837406864 is an abundant number, since it is smaller than the sum of its proper divisors (18107578874736).

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

8198837406864 is a wasteful number, since it uses less digits than its factorization.

8198837406864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 8198837406864 in words is "eight trillion, one hundred ninety-eight billion, eight hundred thirty-seven million, four hundred six thousand, eight hundred sixty-four".