9868884480 has 800 divisors, whose sum is σ = 43587460224. Its totient is φ = 2078244864.

The previous prime is 9868884433. The next prime is 9868884481. The reversal of 9868884480 is 844888689.

9868884480 = 483² + 484² + ... + 3097².

It is a happy number.

9868884480 is a `hidden beast` number, since 98 + 68 + 8 + 8 + 4 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9868884481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18869499 + ... + 18870021.

Almost surely, 2^9868884480 is an apocalyptic number.

9868884480 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 9868884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21793730112).

9868884480 is an abundant number, since it is smaller than the sum of its proper divisors (33718575744).

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

9868884480 is a wasteful number, since it uses less digits than its factorization.

9868884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The square root of 9868884480 is about 99342.2592857642. The cubic root of 9868884480 is about 2144.9772406994.

The spelling of 9868884480 in words is "nine billion, eight hundred sixty-eight million, eight hundred eighty-four thousand, four hundred eighty".