9820467648 has 224 divisors, whose sum is σ = 29503339520. Its totient is φ = 3202467840.

The previous prime is 9820467599. The next prime is 9820467689. The reversal of 9820467648 is 8467640289.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9820467648 = 272³ + 2140³ = 1272³ + 1980³.

It is a junction number, because it is equal to n+sod(n) for n = 9820467594 and 9820467603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31375140 + ... + 31375452.

Almost surely, 2^9820467648 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 9820467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751669760).

9820467648 is an abundant number, since it is smaller than the sum of its proper divisors (19682871872).

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

9820467648 is a wasteful number, since it uses less digits than its factorization.

9820467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9820467648 is about 99098.2726791946. The cubic root of 9820467648 is about 2141.4637297278.

The spelling of 9820467648 in words is "nine billion, eight hundred twenty million, four hundred sixty-seven thousand, six hundred forty-eight".