8961684480 has 770 divisors, whose sum is σ = 37601257026. Its totient is φ = 2048385024.

The previous prime is 8961684461. The next prime is 8961684491. The reversal of 8961684480 is 844861698.

8961684480 is a `hidden beast` number, since 89 + 6 + 1 + 6 + 84 + 480 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7169347584 + 1792336896 = 84672^2 + 42336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1280240637 + ... + 1280240643.

Almost surely, 2^8961684480 is an apocalyptic number.

8961684480 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 8961684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800628513).

8961684480 is an abundant number, since it is smaller than the sum of its proper divisors (28639572546).

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

8961684480 is an frugal number, since it uses more digits than its factorization.

8961684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8961684480 is about 94666.1738954311. The cubic root of 8961684480 is about 2077.1277911035.

The spelling of 8961684480 in words is "eight billion, nine hundred sixty-one million, six hundred eighty-four thousand, four hundred eighty".