9678856320 has 1024 divisors, whose sum is σ = 42301440000. Its totient is φ = 2086318080.

The previous prime is 9678856303. The next prime is 9678856339. The reversal of 9678856320 is 236588769.

It is a happy number.

9678856320 is a `hidden beast` number, since 9 + 6 + 78 + 8 + 563 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136321885 + ... + 136321955.

It is an arithmetic number, because the mean of its divisors is an integer number (41310000).

Almost surely, 2^9678856320 is an apocalyptic number.

9678856320 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 9678856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720000).

9678856320 is an abundant number, since it is smaller than the sum of its proper divisors (32622583680).

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

9678856320 is a wasteful number, since it uses less digits than its factorization.

9678856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9678856320 is about 98381.1786877958. The cubic root of 9678856320 is about 2131.1205371720.

The spelling of 9678856320 in words is "nine billion, six hundred seventy-eight million, eight hundred fifty-six thousand, three hundred twenty".