8961966720 has 576 divisors, whose sum is σ = 36447152040. Its totient is φ = 2023096320.

The previous prime is 8961966703. The next prime is 8961966751. The reversal of 8961966720 is 276691698.

It can be written as a sum of positive squares in 4 ways, for example, as 5242918464 + 3719048256 = 72408^2 + 60984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31892980 + ... + 31893260.

Almost surely, 2^8961966720 is an apocalyptic number.

8961966720 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 8961966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223576020).

8961966720 is an abundant number, since it is smaller than the sum of its proper divisors (27485185320).

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

8961966720 is a wasteful number, since it uses less digits than its factorization.

8961966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 8961966720 is about 94667.6645956791. The cubic root of 8961966720 is about 2077.1495966169.

The spelling of 8961966720 in words is "eight billion, nine hundred sixty-one million, nine hundred sixty-six thousand, seven hundred twenty".