9868529664 has 312 divisors, whose sum is σ = 32916024960. Its totient is φ = 2790457344.

The previous prime is 9868529653. The next prime is 9868529687. The reversal of 9868529664 is 4669258689.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43093902 + ... + 43094130.

It is an arithmetic number, because the mean of its divisors is an integer number (105500080).

Almost surely, 2^9868529664 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 9868529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458012480).

9868529664 is an abundant number, since it is smaller than the sum of its proper divisors (23047495296).

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

9868529664 is a wasteful number, since it uses less digits than its factorization.

9868529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 9868529664 is about 99340.4734436071. The cubic root of 9868529664 is about 2144.9515342693.

The spelling of 9868529664 in words is "nine billion, eight hundred sixty-eight million, five hundred twenty-nine thousand, six hundred sixty-four".