8689718400 has 768 divisors, whose sum is σ = 33876403200. Its totient is φ = 1935360000.

The previous prime is 8689718377. The next prime is 8689718459. The reversal of 8689718400 is 48179868.

It is a super-3 number, since 3×8689718400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 122390365 + ... + 122390435.

It is an arithmetic number, because the mean of its divisors is an integer number (44109900).

Almost surely, 2^8689718400 is an apocalyptic number.

8689718400 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 8689718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938201600).

8689718400 is an abundant number, since it is smaller than the sum of its proper divisors (25186684800).

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

8689718400 is a wasteful number, since it uses less digits than its factorization.

8689718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 8689718400 is about 93218.6590763888. The cubic root of 8689718400 is about 2055.8995948889.

The spelling of 8689718400 in words is "eight billion, six hundred eighty-nine million, seven hundred eighteen thousand, four hundred".