8445669120 has 576 divisors, whose sum is σ = 34755194880. Its totient is φ = 1925959680.

The previous prime is 8445669097. The next prime is 8445669137. The reversal of 8445669120 is 219665448.

8445669120 is a `hidden beast` number, since 84 + 4 + 566 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 19595305 + ... + 19595735.

It is an arithmetic number, because the mean of its divisors is an integer number (60338880).

Almost surely, 2^8445669120 is an apocalyptic number.

8445669120 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 8445669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377597440).

8445669120 is an abundant number, since it is smaller than the sum of its proper divisors (26309525760).

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

8445669120 is an frugal number, since it uses more digits than its factorization.

8445669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8445669120 is about 91900.3216534088. The cubic root of 8445669120 is about 2036.4700198751.

The spelling of 8445669120 in words is "eight billion, four hundred forty-five million, six hundred sixty-nine thousand, one hundred twenty".