9688746000 has 320 divisors, whose sum is σ = 33783909120. Its totient is φ = 2380492800.

The previous prime is 9688745999. The next prime is 9688746007. The reversal of 9688746000 is 6478869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9688746007) 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, 4216852 + ... + 4219148.

It is an arithmetic number, because the mean of its divisors is an integer number (105574716).

Almost surely, 2^9688746000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9688746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891954560).

9688746000 is an abundant number, since it is smaller than the sum of its proper divisors (24095163120).

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

9688746000 is a wasteful number, since it uses less digits than its factorization.

9688746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 9688746000 is about 98431.4279079604. The cubic root of 9688746000 is about 2131.8461368757.

The spelling of 9688746000 in words is "nine billion, six hundred eighty-eight million, seven hundred forty-six thousand".