8645286240 has 288 divisors, whose sum is σ = 30485984256. Its totient is φ = 2229534720.

The previous prime is 8645286217. The next prime is 8645286257. The reversal of 8645286240 is 426825468.

8645286240 is a `hidden beast` number, since 8 + 64 + 528 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 7497504 + ... + 7498656.

It is an arithmetic number, because the mean of its divisors is an integer number (105854112).

Almost surely, 2^8645286240 is an apocalyptic number.

8645286240 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 8645286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242992128).

8645286240 is an abundant number, since it is smaller than the sum of its proper divisors (21840698016).

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

8645286240 is a wasteful number, since it uses less digits than its factorization.

8645286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8645286240 is about 92980.0314045978. The cubic root of 8645286240 is about 2052.3895388061.

The spelling of 8645286240 in words is "eight billion, six hundred forty-five million, two hundred eighty-six thousand, two hundred forty".