9820556064 has 144 divisors (see below), whose sum is σ = 30604863744. Its totient is φ = 2962368000.

The previous prime is 9820556029. The next prime is 9820556069. The reversal of 9820556064 is 4606550289.

9820556064 is a `hidden beast` number, since 9 + 8 + 20 + 5 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9820556069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699514 + ... + 713414.

It is an arithmetic number, because the mean of its divisors is an integer number (212533776).

Almost surely, 2^9820556064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9820556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302431872).

9820556064 is an abundant number, since it is smaller than the sum of its proper divisors (20784307680).

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

9820556064 is a wasteful number, since it uses less digits than its factorization.

9820556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 9820556064 is about 99098.7187808198. The cubic root of 9820556064 is about 2141.4701564105.

The spelling of 9820556064 in words is "nine billion, eight hundred twenty million, five hundred fifty-six thousand, sixty-four".