9788148480 has 576 divisors, whose sum is σ = 37065143808. Its totient is φ = 2174484480.

The previous prime is 9788148457. The next prime is 9788148481. The reversal of 9788148480 is 848418879.

It is a self number, because there is not a number n which added to its sum of digits gives 9788148480.

It is not an unprimeable number, because it can be changed into a prime (9788148481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30877282 + ... + 30877598.

It is an arithmetic number, because the mean of its divisors is an integer number (64349208).

Almost surely, 2^9788148480 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 9788148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532571904).

9788148480 is an abundant number, since it is smaller than the sum of its proper divisors (27276995328).

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

9788148480 is a wasteful number, since it uses less digits than its factorization.

9788148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The square root of 9788148480 is about 98935.0720422237. The cubic root of 9788148480 is about 2139.1119615840. Note that the first 3 decimals are identical.

The spelling of 9788148480 in words is "nine billion, seven hundred eighty-eight million, one hundred forty-eight thousand, four hundred eighty".