8490660433920 has 2288 divisors, whose sum is σ = 37609994805120. Its totient is φ = 1795603562496.

The previous prime is 8490660433897. The next prime is 8490660433933. The reversal of 8490660433920 is 293340660948.

8490660433920 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 6 + 604 + 3 + 3 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 143909498851 + ... + 143909498909.

Almost surely, 2^{8490660433920} is an apocalyptic number.

8490660433920 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 8490660433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804997402560).

8490660433920 is an abundant number, since it is smaller than the sum of its proper divisors (29119334371200).

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

8490660433920 is an frugal number, since it uses more digits than its factorization.

8490660433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 8490660433920 in words is "eight trillion, four hundred ninety billion, six hundred sixty million, four hundred thirty-three thousand, nine hundred twenty".