8645345280 has 768 divisors, whose sum is σ = 36068366880. Its totient is φ = 1887436800.

The previous prime is 8645345243. The next prime is 8645345281. The reversal of 8645345280 is 825435468.

8645345280 is a `hidden beast` number, since 8 + 64 + 534 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8645345281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210862060 + ... + 210862100.

Almost surely, 2^8645345280 is an apocalyptic number.

8645345280 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 8645345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034183440).

8645345280 is an abundant number, since it is smaller than the sum of its proper divisors (27423021600).

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

8645345280 is a wasteful number, since it uses less digits than its factorization.

8645345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 8645345280 is about 92980.3488915803. The cubic root of 8645345280 is about 2052.3942108242.

The spelling of 8645345280 in words is "eight billion, six hundred forty-five million, three hundred forty-five thousand, two hundred eighty".