8644968000 has 336 divisors, whose sum is σ = 32077054464. Its totient is φ = 2304806400.

The previous prime is 8644967999. The next prime is 8644968037. The reversal of 8644968000 is 8694468.

It is a happy number.

8644968000 is a `hidden beast` number, since 86 + 4 + 496 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1941777 + ... + 1946223.

It is an arithmetic number, because the mean of its divisors is an integer number (95467424).

Almost surely, 2^8644968000 is an apocalyptic number.

8644968000 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 8644968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038527232).

8644968000 is an abundant number, since it is smaller than the sum of its proper divisors (23432086464).

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

8644968000 is an equidigital number, since it uses as much as digits as its factorization.

8644968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8644968000 is about 92978.3200536555. The cubic root of 8644968000 is about 2052.3643551224.

It can be divided in two parts, 86449 and 68000, that added together give a square (154449 = 393²).

The spelling of 8644968000 in words is "eight billion, six hundred forty-four million, nine hundred sixty-eight thousand".