8456445360 has 800 divisors, whose sum is σ = 34223523840. Its totient is φ = 1916006400.

The previous prime is 8456445307. The next prime is 8456445409. The reversal of 8456445360 is 635446548.

8456445360 is a `hidden beast` number, since 84 + 5 + 64 + 453 + 60 = 666.

It is a super-2 number, since 2×8456445360² (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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95016196 + ... + 95016284.

Almost surely, 2^8456445360 is an apocalyptic number.

8456445360 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 8456445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111761920).

8456445360 is an abundant number, since it is smaller than the sum of its proper divisors (25767078480).

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

8456445360 is a wasteful number, since it uses less digits than its factorization.

8456445360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 8456445360 is about 91958.9330081640. The cubic root of 8456445360 is about 2037.3357954663.

The spelling of 8456445360 in words is "eight billion, four hundred fifty-six million, four hundred forty-five thousand, three hundred sixty".