8445217680 has 160 divisors (see below), whose sum is σ = 29122897920. Its totient is φ = 2249441280.

The previous prime is 8445217663. The next prime is 8445217681. The reversal of 8445217680 is 867125448.

8445217680 is a `hidden beast` number, since 8 + 44 + 521 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8445217681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2488785 + ... + 2492175.

It is an arithmetic number, because the mean of its divisors is an integer number (182018112).

Almost surely, 2^8445217680 is an apocalyptic number.

8445217680 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 8445217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561448960).

8445217680 is an abundant number, since it is smaller than the sum of its proper divisors (20677680240).

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

8445217680 is a wasteful number, since it uses less digits than its factorization.

8445217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8445217680 is about 91897.8654811960. The cubic root of 8445217680 is about 2036.4337345951.

The spelling of 8445217680 in words is "eight billion, four hundred forty-five million, two hundred seventeen thousand, six hundred eighty".