9868430880 has 1440 divisors, whose sum is σ = 46718622720. Its totient is φ = 1916006400.

The previous prime is 9868430863. The next prime is 9868430893. The reversal of 9868430880 is 880348689.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 318336465 + ... + 318336495.

It is an arithmetic number, because the mean of its divisors is an integer number (32443488).

Almost surely, 2^9868430880 is an apocalyptic number.

9868430880 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 9868430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

9868430880 is an abundant number, since it is smaller than the sum of its proper divisors (36850191840).

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

9868430880 is a wasteful number, since it uses less digits than its factorization.

9868430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 9868430880 is about 99339.9762432023. The cubic root of 9868430880 is about 2144.9443772559.

The spelling of 9868430880 in words is "nine billion, eight hundred sixty-eight million, four hundred thirty thousand, eight hundred eighty".