8961783264 has 288 divisors, whose sum is σ = 29920363200. Its totient is φ = 2543321088.

The previous prime is 8961783241. The next prime is 8961783269. The reversal of 8961783264 is 4623871698.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8961783264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961783269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25387312 + ... + 25387664.

It is an arithmetic number, because the mean of its divisors is an integer number (103890150).

Almost surely, 2^8961783264 is an apocalyptic number.

8961783264 is a gapful number since it is divisible by the number (84) 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 8961783264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960181600).

8961783264 is an abundant number, since it is smaller than the sum of its proper divisors (20958579936).

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

8961783264 is a wasteful number, since it uses less digits than its factorization.

8961783264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8961783264 is about 94666.6956431881. The cubic root of 8961783264 is about 2077.1354230853.

The spelling of 8961783264 in words is "eight billion, nine hundred sixty-one million, seven hundred eighty-three thousand, two hundred sixty-four".