9431968000 has 576 divisors, whose sum is σ = 29998725120. Its totient is φ = 2875392000.

The previous prime is 9431967997. The next prime is 9431968003. The reversal of 9431968000 is 8691349.

It is an interprime number because it is at equal distance from previous prime (9431967997) and next prime (9431968003).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9431968003) 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, 119391961 + ... + 119392039.

It is an arithmetic number, because the mean of its divisors is an integer number (52081120).

Almost surely, 2^9431968000 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 9431968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999362560).

9431968000 is an abundant number, since it is smaller than the sum of its proper divisors (20566757120).

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

9431968000 is a wasteful number, since it uses less digits than its factorization.

9431968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 9431968000 is about 97118.3195900753. The cubic root of 9431968000 is about 2112.8440343951.

The spelling of 9431968000 in words is "nine billion, four hundred thirty-one million, nine hundred sixty-eight thousand".