8405649120 has 192 divisors, whose sum is σ = 29010078720. Its totient is φ = 2028902400.

The previous prime is 8405649107. The next prime is 8405649143. The reversal of 8405649120 is 219465048.

It is a congruent number.

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, 1258590 + ... + 1265250.

It is an arithmetic number, because the mean of its divisors is an integer number (151094160).

Almost surely, 2^8405649120 is an apocalyptic number.

8405649120 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 8405649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505039360).

8405649120 is an abundant number, since it is smaller than the sum of its proper divisors (20604429600).

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

8405649120 is a wasteful number, since it uses less digits than its factorization.

8405649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 8405649120 is about 91682.3271955942. The cubic root of 8405649120 is about 2033.2483055609.

The spelling of 8405649120 in words is "eight billion, four hundred five million, six hundred forty-nine thousand, one hundred twenty".