8681798400 has 648 divisors, whose sum is σ = 32664648912. Its totient is φ = 2027520000.

The previous prime is 8681798399. The next prime is 8681798441. The reversal of 8681798400 is 48971868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85958350 + ... + 85958450.

Almost surely, 2^8681798400 is an apocalyptic number.

8681798400 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 8681798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332324456).

8681798400 is an abundant number, since it is smaller than the sum of its proper divisors (23982850512).

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

8681798400 is a wasteful number, since it uses less digits than its factorization.

8681798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

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

The square root of 8681798400 is about 93176.1686269617. The cubic root of 8681798400 is about 2055.2748077032.

The spelling of 8681798400 in words is "eight billion, six hundred eighty-one million, seven hundred ninety-eight thousand, four hundred".