8216455680 has 240 divisors, whose sum is σ = 28599446304. Its totient is φ = 2180014080.

The previous prime is 8216455679. The next prime is 8216455733. The reversal of 8216455680 is 865546128.

8216455680 is a `hidden beast` number, since 8 + 2 + 16 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5229295 + ... + 5230865.

Almost surely, 2^8216455680 is an apocalyptic number.

8216455680 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 8216455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299723152).

8216455680 is an abundant number, since it is smaller than the sum of its proper divisors (20382990624).

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

8216455680 is a wasteful number, since it uses less digits than its factorization.

8216455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8216455680 is about 90644.6671349175. The cubic root of 8216455680 is about 2017.8776912509.

The spelling of 8216455680 in words is "eight billion, two hundred sixteen million, four hundred fifty-five thousand, six hundred eighty".