8432455680 has 312 divisors, whose sum is σ = 31893788160. Its totient is φ = 2043740160.

The previous prime is 8432455673. The next prime is 8432455699. The reversal of 8432455680 is 865542348.

8432455680 is a `hidden beast` number, since 8 + 43 + 2 + 45 + 568 + 0 = 666.

It is a super-2 number, since 2×8432455680² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025441 + ... + 2029599.

It is an arithmetic number, because the mean of its divisors is an integer number (102223680).

Almost surely, 2^8432455680 is an apocalyptic number.

8432455680 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 8432455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946894080).

8432455680 is an abundant number, since it is smaller than the sum of its proper divisors (23461332480).

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

8432455680 is a wasteful number, since it uses less digits than its factorization.

8432455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 8432455680 is about 91828.4034490418. The cubic root of 8432455680 is about 2035.4074310944.

The spelling of 8432455680 in words is "eight billion, four hundred thirty-two million, four hundred fifty-five thousand, six hundred eighty".