9856788480 has 768 divisors, whose sum is σ = 43777843200. Its totient is φ = 2043740160.

The previous prime is 9856788463. The next prime is 9856788509. The reversal of 9856788480 is 848876589.

9856788480 is a `hidden beast` number, since 9 + 85 + 6 + 78 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288729 + ... + 21289191.

It is an arithmetic number, because the mean of its divisors is an integer number (57002400).

Almost surely, 2^9856788480 is an apocalyptic number.

9856788480 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 9856788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888921600).

9856788480 is an abundant number, since it is smaller than the sum of its proper divisors (33921054720).

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

9856788480 is a wasteful number, since it uses less digits than its factorization.

9856788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 9856788480 is about 99281.3601840748. The cubic root of 9856788480 is about 2144.1005373513.

The spelling of 9856788480 in words is "nine billion, eight hundred fifty-six million, seven hundred eighty-eight thousand, four hundred eighty".