8641036800 has 480 divisors, whose sum is σ = 34615373760. Its totient is φ = 2093875200.

The previous prime is 8641036787. The next prime is 8641036841. The reversal of 8641036800 is 86301468.

It is a happy number.

8641036800 is a `hidden beast` number, since 8 + 641 + 0 + 3 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3800464 + ... + 3802736.

It is an arithmetic number, because the mean of its divisors is an integer number (72115362).

Almost surely, 2^8641036800 is an apocalyptic number.

8641036800 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 8641036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307686880).

8641036800 is an abundant number, since it is smaller than the sum of its proper divisors (25974336960).

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

8641036800 is a wasteful number, since it uses less digits than its factorization.

8641036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8641036800 is about 92957.1772376937. The cubic root of 8641036800 is about 2052.0532115745.

The spelling of 8641036800 in words is "eight billion, six hundred forty-one million, thirty-six thousand, eight hundred".