8640046800 has 720 divisors, whose sum is σ = 37994711040. Its totient is φ = 1766016000.

The previous prime is 8640046741. The next prime is 8640046813. The reversal of 8640046800 is 86400468.

8640046800 is a `hidden beast` number, since 8 + 640 + 0 + 4 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×8640046800³ (a number of 31 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 19680981 + ... + 19681419.

It is an arithmetic number, because the mean of its divisors is an integer number (52770432).

Almost surely, 2^8640046800 is an apocalyptic number.

8640046800 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 8640046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997355520).

8640046800 is an abundant number, since it is smaller than the sum of its proper divisors (29354664240).

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

8640046800 is a wasteful number, since it uses less digits than its factorization.

8640046800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8640046800 is about 92951.8520525546. The cubic root of 8640046800 is about 2051.9748409532.

8640046800 divided by its reverse (86400468) gives a square (100 = 10²).

The spelling of 8640046800 in words is "eight billion, six hundred forty million, forty-six thousand, eight hundred".