9678348288 has 672 divisors, whose sum is σ = 35859110400. Its totient is φ = 2563964928.

The previous prime is 9678348283. The next prime is 9678348311. The reversal of 9678348288 is 8828438769.

9678348288 is a `hidden beast` number, since 9 + 6 + 7 + 8 + 348 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678348283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205922281 + ... + 205922327.

Almost surely, 2^9678348288 is an apocalyptic number.

9678348288 is a gapful number since it is divisible by the number (98) 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 9678348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929555200).

9678348288 is an abundant number, since it is smaller than the sum of its proper divisors (26180762112).

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

9678348288 is a wasteful number, since it uses less digits than its factorization.

9678348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 9678348288 is about 98378.5966966393. The cubic root of 9678348288 is about 2131.0832498336.

The spelling of 9678348288 in words is "nine billion, six hundred seventy-eight million, three hundred forty-eight thousand, two hundred eighty-eight".