8722560000 has 880 divisors, whose sum is σ = 36834209280. Its totient is φ = 1781760000.

The previous prime is 8722559983. The next prime is 8722560029. The reversal of 8722560000 is 652278.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8722560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147839971 + ... + 147840029.

It is an arithmetic number, because the mean of its divisors is an integer number (41857056).

Almost surely, 2^8722560000 is an apocalyptic number.

8722560000 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 8722560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417104640).

8722560000 is an abundant number, since it is smaller than the sum of its proper divisors (28111649280).

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

8722560000 is a wasteful number, since it uses less digits than its factorization.

8722560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8722560000 is about 93394.6465275178. The cubic root of 8722560000 is about 2058.4863358139.

The spelling of 8722560000 in words is "eight billion, seven hundred twenty-two million, five hundred sixty thousand".