8654221440 has 352 divisors, whose sum is σ = 31168838700. Its totient is φ = 2297714688.

The previous prime is 8654221439. The next prime is 8654221447. The reversal of 8654221440 is 441224568.

It can be written as a sum of positive squares in 2 ways, for example, as 8348111424 + 306110016 = 91368^2 + 17496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8654221395 and 8654221404.

It is not an unprimeable number, because it can be changed into a prime (8654221447) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 37791246 + ... + 37791474.

Almost surely, 2^8654221440 is an apocalyptic number.

8654221440 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 8654221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584419350).

8654221440 is an abundant number, since it is smaller than the sum of its proper divisors (22514617260).

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

8654221440 is an frugal number, since it uses more digits than its factorization.

8654221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8654221440 is about 93028.0680225060. The cubic root of 8654221440 is about 2053.0963670242.

The spelling of 8654221440 in words is "eight billion, six hundred fifty-four million, two hundred twenty-one thousand, four hundred forty".