8961840000 has 480 divisors, whose sum is σ = 33491498040. Its totient is φ = 2384640000.

The previous prime is 8961839993. The next prime is 8961840011. The reversal of 8961840000 is 481698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 19439770 + ... + 19440230.

Almost surely, 2^8961840000 is an apocalyptic number.

8961840000 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 8961840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745749020).

8961840000 is an abundant number, since it is smaller than the sum of its proper divisors (24529658040).

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

8961840000 is an frugal number, since it uses more digits than its factorization.

8961840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8961840000 is about 94666.9953045939. The cubic root of 8961840000 is about 2077.1398064430.

The spelling of 8961840000 in words is "eight billion, nine hundred sixty-one million, eight hundred forty thousand".