8465667840 has 432 divisors, whose sum is σ = 34043196096. Its totient is φ = 1902182400.

The previous prime is 8465667827. The next prime is 8465667841. The reversal of 8465667840 is 487665648.

8465667840 is a `hidden beast` number, since 8 + 4 + 6 + 566 + 78 + 4 + 0 = 666.

It is a super-3 number, since 3×8465667840³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8465667841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4918180 + ... + 4919900.

Almost surely, 2^8465667840 is an apocalyptic number.

8465667840 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 8465667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021598048).

8465667840 is an abundant number, since it is smaller than the sum of its proper divisors (25577528256).

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

8465667840 is a wasteful number, since it uses less digits than its factorization.

8465667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 8465667840 is about 92009.0639013353. The cubic root of 8465667840 is about 2038.0761562806.

The spelling of 8465667840 in words is "eight billion, four hundred sixty-five million, six hundred sixty-seven thousand, eight hundred forty".