8563752960 has 512 divisors, whose sum is σ = 33218380800. Its totient is φ = 1840250880.

The previous prime is 8563752959. The next prime is 8563753013. The reversal of 8563752960 is 692573658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65372095 + ... + 65372225.

It is an arithmetic number, because the mean of its divisors is an integer number (64879650).

Almost surely, 2^8563752960 is an apocalyptic number.

8563752960 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 8563752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609190400).

8563752960 is an abundant number, since it is smaller than the sum of its proper divisors (24654627840).

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

8563752960 is a wasteful number, since it uses less digits than its factorization.

8563752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 8563752960 is about 92540.5476534476. The cubic root of 8563752960 is about 2045.9171532651.

The spelling of 8563752960 in words is "eight billion, five hundred sixty-three million, seven hundred fifty-two thousand, nine hundred sixty".