8465567040 has 896 divisors, whose sum is σ = 36868608000. Its totient is φ = 1785618432.

The previous prime is 8465567003. The next prime is 8465567041. The reversal of 8465567040 is 407655648.

8465567040 is a `hidden beast` number, since 8 + 46 + 5 + 567 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8465567041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60903291 + ... + 60903429.

It is an arithmetic number, because the mean of its divisors is an integer number (41148000).

Almost surely, 2^8465567040 is an apocalyptic number.

8465567040 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 8465567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304000).

8465567040 is an abundant number, since it is smaller than the sum of its proper divisors (28403040960).

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

8465567040 is a wasteful number, since it uses less digits than its factorization.

8465567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 8465567040 is about 92008.5161275846. The cubic root of 8465567040 is about 2038.0680671809.

The spelling of 8465567040 in words is "eight billion, four hundred sixty-five million, five hundred sixty-seven thousand, forty".