8865445680 has 1280 divisors, whose sum is σ = 41037373440. Its totient is φ = 1707982848.

The previous prime is 8865445679. The next prime is 8865445691. The reversal of 8865445680 is 865445688.

8865445680 is a `hidden beast` number, since 88 + 65 + 445 + 68 + 0 = 666.

It is a super-2 number, since 2×8865445680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167272534 + ... + 167272586.

It is an arithmetic number, because the mean of its divisors is an integer number (32060448).

Almost surely, 2^8865445680 is an apocalyptic number.

8865445680 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 8865445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518686720).

8865445680 is an abundant number, since it is smaller than the sum of its proper divisors (32171927760).

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

8865445680 is a wasteful number, since it uses less digits than its factorization.

8865445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 8865445680 is about 94156.4956867024. The cubic root of 8865445680 is about 2069.6656464801.

The spelling of 8865445680 in words is "eight billion, eight hundred sixty-five million, four hundred forty-five thousand, six hundred eighty".