8512410816 has 672 divisors, whose sum is σ = 32711672448. Its totient is φ = 2052587520.

The previous prime is 8512410773. The next prime is 8512410817. The reversal of 8512410816 is 6180142158.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8512410816² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8512410817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36533836 + ... + 36534068.

It is an arithmetic number, because the mean of its divisors is an integer number (48678084).

Almost surely, 2^8512410816 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 8512410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355836224).

8512410816 is an abundant number, since it is smaller than the sum of its proper divisors (24199261632).

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

8512410816 is a wasteful number, since it uses less digits than its factorization.

8512410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8512410816 is about 92262.7271220616. The cubic root of 8512410816 is about 2041.8203359761.

The spelling of 8512410816 in words is "eight billion, five hundred twelve million, four hundred ten thousand, eight hundred sixteen".