8490616000 has 224 divisors, whose sum is σ = 22466808000. Its totient is φ = 3167436800.

The previous prime is 8490615989. The next prime is 8490616021. The reversal of 8490616000 is 6160948.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20263791 + ... + 20264209.

It is an arithmetic number, because the mean of its divisors is an integer number (100298250).

Almost surely, 2^8490616000 is an apocalyptic number.

8490616000 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 8490616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233404000).

8490616000 is an abundant number, since it is smaller than the sum of its proper divisors (13976192000).

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

8490616000 is a wasteful number, since it uses less digits than its factorization.

8490616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8490616000 is about 92144.5386336054. The cubic root of 8490616000 is about 2040.0762498733.

Adding to 8490616000 its reverse (6160948), we get a palindrome (8496776948).

The spelling of 8490616000 in words is "eight billion, four hundred ninety million, six hundred sixteen thousand".