8604196898400 has 288 divisors, whose sum is σ = 31174423771680. Its totient is φ = 2290329999360.

The previous prime is 8604196898399. The next prime is 8604196898447. The reversal of 8604196898400 is 48986914068.

8604196898400 is a `hidden beast` number, since 8 + 60 + 4 + 1 + 96 + 89 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11673622 + ... + 12388778.

It is an arithmetic number, because the mean of its divisors is an integer number (108244526985).

Almost surely, 2^{8604196898400} is an apocalyptic number.

8604196898400 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 8604196898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587211885840).

8604196898400 is an abundant number, since it is smaller than the sum of its proper divisors (22570226873280).

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

8604196898400 is a wasteful number, since it uses less digits than its factorization.

8604196898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715743 (or 715724 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8604196898400 in words is "eight trillion, six hundred four billion, one hundred ninety-six million, eight hundred ninety-eight thousand, four hundred".