8490749184 has 360 divisors, whose sum is σ = 27838789440. Its totient is φ = 2561974272.

The previous prime is 8490749173. The next prime is 8490749191. The reversal of 8490749184 is 4819470948.

8490749184 is a `hidden beast` number, since 8 + 490 + 74 + 9 + 1 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8490749184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9061164 + ... + 9062100.

Almost surely, 2^8490749184 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 8490749184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919394720).

8490749184 is an abundant number, since it is smaller than the sum of its proper divisors (19348040256).

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

8490749184 is a wasteful number, since it uses less digits than its factorization.

8490749184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8490749184 is about 92145.2613214592. The cubic root of 8490749184 is about 2040.0869167120.

The spelling of 8490749184 in words is "eight billion, four hundred ninety million, seven hundred forty-nine thousand, one hundred eighty-four".