8516807376 has 320 divisors, whose sum is σ = 28143722496. Its totient is φ = 2155507200.

The previous prime is 8516807347. The next prime is 8516807389. The reversal of 8516807376 is 6737086158.

It is a super-3 number, since 3×8516807376³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40363911 + ... + 40364121.

Almost surely, 2^8516807376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8516807376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071861248).

8516807376 is an abundant number, since it is smaller than the sum of its proper divisors (19626915120).

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

8516807376 is a wasteful number, since it uses less digits than its factorization.

8516807376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 8516807376 is about 92286.5503526922. The cubic root of 8516807376 is about 2042.1718008647.

The spelling of 8516807376 in words is "eight billion, five hundred sixteen million, eight hundred seven thousand, three hundred seventy-six".