9879622560 has 288 divisors, whose sum is σ = 35026992000. Its totient is φ = 2532784128.

The previous prime is 9879622553. The next prime is 9879622579. The reversal of 9879622560 is 652269789.

9879622560 is a `hidden beast` number, since 9 + 8 + 7 + 9 + 622 + 5 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9879622497 and 9879622506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14991511 + ... + 14992169.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^9879622560 is an apocalyptic number.

9879622560 is a gapful number since it is divisible by the number (90) 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 9879622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513496000).

9879622560 is an abundant number, since it is smaller than the sum of its proper divisors (25147369440).

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

9879622560 is a wasteful number, since it uses less digits than its factorization.

9879622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9879622560 is about 99396.2904740413. The cubic root of 9879622560 is about 2145.7549236095.

The spelling of 9879622560 in words is "nine billion, eight hundred seventy-nine million, six hundred twenty-two thousand, five hundred sixty".