8641745840 has 480 divisors, whose sum is σ = 26888029056. Its totient is φ = 2554675200.

The previous prime is 8641745837. The next prime is 8641745843. The reversal of 8641745840 is 485471468.

It is an interprime number because it is at equal distance from previous prime (8641745837) and next prime (8641745843).

It is not an unprimeable number, because it can be changed into a prime (8641745843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85561790 + ... + 85561890.

Almost surely, 2^8641745840 is an apocalyptic number.

8641745840 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 8641745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444014528).

8641745840 is an abundant number, since it is smaller than the sum of its proper divisors (18246283216).

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

8641745840 is a wasteful number, since it uses less digits than its factorization.

8641745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The square root of 8641745840 is about 92960.9909585736. The cubic root of 8641745840 is about 2052.1093370931.

The spelling of 8641745840 in words is "eight billion, six hundred forty-one million, seven hundred forty-five thousand, eight hundred forty".