9887940480 has 512 divisors, whose sum is σ = 37137139200. Its totient is φ = 2211840000.

The previous prime is 9887940463. The next prime is 9887940481. The reversal of 9887940480 is 840497889.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9887940480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9887940481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16452180 + ... + 16452780.

It is an arithmetic number, because the mean of its divisors is an integer number (72533475).

Almost surely, 2^9887940480 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 9887940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568569600).

9887940480 is an abundant number, since it is smaller than the sum of its proper divisors (27249198720).

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

9887940480 is a wasteful number, since it uses less digits than its factorization.

9887940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 9887940480 is about 99438.1238761070. The cubic root of 9887940480 is about 2146.3569442860.

The spelling of 9887940480 in words is "nine billion, eight hundred eighty-seven million, nine hundred forty thousand, four hundred eighty".