9683640720 has 400 divisors, whose sum is σ = 36524537280. Its totient is φ = 2363655168.

The previous prime is 9683640683. The next prime is 9683640737. The reversal of 9683640720 is 270463869.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11708947 + ... + 11709773.

Almost surely, 2^9683640720 is an apocalyptic number.

9683640720 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 9683640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18262268640).

9683640720 is an abundant number, since it is smaller than the sum of its proper divisors (26840896560).

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

9683640720 is a wasteful number, since it uses less digits than its factorization.

9683640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9683640720 is about 98405.4913101906. The cubic root of 9683640720 is about 2131.4716273280.

The spelling of 9683640720 in words is "nine billion, six hundred eighty-three million, six hundred forty thousand, seven hundred twenty".