8100864000 has 448 divisors, whose sum is σ = 30055596480. Its totient is φ = 2152857600.

The previous prime is 8100863999. The next prime is 8100864001. The reversal of 8100864000 is 4680018.

8100864000 is a `hidden beast` number, since 8 + 10 + 0 + 8 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8100863999) and next prime (8100864001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100864001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647854 + ... + 27648146.

It is an arithmetic number, because the mean of its divisors is an integer number (67088385).

Almost surely, 2^8100864000 is an apocalyptic number.

8100864000 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 8100864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027798240).

8100864000 is an abundant number, since it is smaller than the sum of its proper divisors (21954732480).

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

8100864000 is an equidigital number, since it uses as much as digits as its factorization.

8100864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8100864000 is about 90004.7998720068. The cubic root of 8100864000 is about 2008.3702538891.

The spelling of 8100864000 in words is "eight billion, one hundred million, eight hundred sixty-four thousand".