8681212800 has 768 divisors, whose sum is σ = 35060256000. Its totient is φ = 2084659200.

The previous prime is 8681212763. The next prime is 8681212823. The reversal of 8681212800 is 82121868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 66268735 + ... + 66268865.

It is an arithmetic number, because the mean of its divisors is an integer number (45651375).

Almost surely, 2^8681212800 is an apocalyptic number.

8681212800 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 8681212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128000).

8681212800 is an abundant number, since it is smaller than the sum of its proper divisors (26379043200).

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

8681212800 is a wasteful number, since it uses less digits than its factorization.

8681212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8681212800 is about 93173.0261395432. The cubic root of 8681212800 is about 2055.2285962336.

The spelling of 8681212800 in words is "eight billion, six hundred eighty-one million, two hundred twelve thousand, eight hundred".