8240643360 has 144 divisors (see below), whose sum is σ = 28147372344. Its totient is φ = 2195460096.

The previous prime is 8240643337. The next prime is 8240643371. The reversal of 8240643360 is 633460428.

It is a happy number.

8240643360 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 643 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6969578256 + 1271065104 = 83484^2 + 35652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148004 + ... + 2151836.

Almost surely, 2^8240643360 is an apocalyptic number.

8240643360 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 8240643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073686172).

8240643360 is an abundant number, since it is smaller than the sum of its proper divisors (19906728984).

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

8240643360 is a wasteful number, since it uses less digits than its factorization.

8240643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 8240643360 is about 90777.9894027181. The cubic root of 8240643360 is about 2019.8558339095.

The spelling of 8240643360 in words is "eight billion, two hundred forty million, six hundred forty-three thousand, three hundred sixty".