9864369648 has 160 divisors (see below), whose sum is σ = 32481413120. Its totient is φ = 2807758080.

The previous prime is 9864369617. The next prime is 9864369653. The reversal of 9864369648 is 8469634689.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813486 + ... + 825522.

It is an arithmetic number, because the mean of its divisors is an integer number (203008832).

Almost surely, 2^9864369648 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 9864369648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240706560).

9864369648 is an abundant number, since it is smaller than the sum of its proper divisors (22617043472).

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

9864369648 is a wasteful number, since it uses less digits than its factorization.

9864369648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12320 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The square root of 9864369648 is about 99319.5330637433. The cubic root of 9864369648 is about 2144.6500950102.

The spelling of 9864369648 in words is "nine billion, eight hundred sixty-four million, three hundred sixty-nine thousand, six hundred forty-eight".