8490612816 has 480 divisors, whose sum is σ = 29415260160. Its totient is φ = 2235340800.

The previous prime is 8490612811. The next prime is 8490612829. The reversal of 8490612816 is 6182160948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8490612811) 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, 95400100 + ... + 95400188.

It is an arithmetic number, because the mean of its divisors is an integer number (61281792).

Almost surely, 2^8490612816 is an apocalyptic number.

8490612816 is a gapful number since it is divisible by the number (86) 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 8490612816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

8490612816 is an abundant number, since it is smaller than the sum of its proper divisors (20924647344).

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

8490612816 is a wasteful number, since it uses less digits than its factorization.

8490612816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8490612816 is about 92144.5213563997. The cubic root of 8490612816 is about 2040.0759948622.

The spelling of 8490612816 in words is "eight billion, four hundred ninety million, six hundred twelve thousand, eight hundred sixteen".