9678240000 has 1080 divisors, whose sum is σ = 41837507712. Its totient is φ = 2119680000.

The previous prime is 9678239999. The next prime is 9678240001. The reversal of 9678240000 is 428769.

It is an interprime number because it is at equal distance from previous prime (9678239999) and next prime (9678240001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9678240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205919977 + ... + 205920023.

Almost surely, 2^9678240000 is an apocalyptic number.

9678240000 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 9678240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918753856).

9678240000 is an abundant number, since it is smaller than the sum of its proper divisors (32159267712).

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

9678240000 is a wasteful number, since it uses less digits than its factorization.

9678240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9678240000 is about 98378.0463314860. The cubic root of 9678240000 is about 2131.0753017968.

Adding to 9678240000 its reverse (428769), we get a palindrome (9678668769).

The spelling of 9678240000 in words is "nine billion, six hundred seventy-eight million, two hundred forty thousand".