9864983520 has 576 divisors, whose sum is σ = 40568726016. Its totient is φ = 2217093120.

The previous prime is 9864983519. The next prime is 9864983539. The reversal of 9864983520 is 253894689.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18234450 + ... + 18234990.

It is an arithmetic number, because the mean of its divisors is an integer number (70431816).

Almost surely, 2^9864983520 is an apocalyptic number.

9864983520 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 9864983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284363008).

9864983520 is an abundant number, since it is smaller than the sum of its proper divisors (30703742496).

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

9864983520 is a wasteful number, since it uses less digits than its factorization.

9864983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9864983520 is about 99322.6234047410. The cubic root of 9864983520 is about 2144.6945821689.

The spelling of 9864983520 in words is "nine billion, eight hundred sixty-four million, nine hundred eighty-three thousand, five hundred twenty".