9678357360 has 320 divisors, whose sum is σ = 38497536000. Its totient is φ = 2189058048.

The previous prime is 9678357349. The next prime is 9678357361. The reversal of 9678357360 is 637538769.

9678357360 is a `hidden beast` number, since 9 + 6 + 7 + 8 + 3 + 573 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9678357297 and 9678357306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678357361) 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, 1463341 + ... + 1469939.

It is an arithmetic number, because the mean of its divisors is an integer number (120304800).

Almost surely, 2^9678357360 is an apocalyptic number.

9678357360 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 9678357360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19248768000).

9678357360 is an abundant number, since it is smaller than the sum of its proper divisors (28819178640).

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

9678357360 is a wasteful number, since it uses less digits than its factorization.

9678357360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 9678357360 is about 98378.6428042184. The cubic root of 9678357360 is about 2131.0839156903.

The spelling of 9678357360 in words is "nine billion, six hundred seventy-eight million, three hundred fifty-seven thousand, three hundred sixty".