8490163584 has 128 divisors (see below), whose sum is σ = 25810732800. Its totient is φ = 2422278144.

The previous prime is 8490163567. The next prime is 8490163609. The reversal of 8490163584 is 4853610948.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307154 + ... + 2310830.

It is an arithmetic number, because the mean of its divisors is an integer number (201646350).

Almost surely, 2^8490163584 is an apocalyptic number.

8490163584 is a gapful number since it is divisible by the number (84) 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 8490163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905366400).

8490163584 is an abundant number, since it is smaller than the sum of its proper divisors (17320569216).

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

8490163584 is a wasteful number, since it uses less digits than its factorization.

8490163584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8490163584 is about 92142.0836751590. The cubic root of 8490163584 is about 2040.0400145938.

The spelling of 8490163584 in words is "eight billion, four hundred ninety million, one hundred sixty-three thousand, five hundred eighty-four".