8445610000 has 75 divisors (see below), whose sum is σ = 20469940491. Its totient is φ = 3374568000.

The previous prime is 8445609947. The next prime is 8445610007. The reversal of 8445610000 is 165448.

The square root of 8445610000 is 91900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 662135824 + 7783474176 = 25732^2 + 88224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8445610007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9189541 + ... + 9190459.

Almost surely, 2^8445610000 is an apocalyptic number.

8445610000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8445610000 is the 91900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8445610000

8445610000 is an abundant number, since it is smaller than the sum of its proper divisors (12024330491).

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

8445610000 is an frugal number, since it uses more digits than its factorization.

8445610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 8445610000 is about 2036.4652680752.

Adding to 8445610000 its reverse (165448), we get a palindrome (8445775448).

The spelling of 8445610000 in words is "eight billion, four hundred forty-five million, six hundred ten thousand".