9465984000 has 880 divisors, whose sum is σ = 38948285376. Its totient is φ = 2267136000.

The previous prime is 9465983999. The next prime is 9465984001. The reversal of 9465984000 is 4895649.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9465983999) and next prime (9465984001).

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9465984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047959 + ... + 114048041.

Almost surely, 2^9465984000 is an apocalyptic number.

9465984000 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 9465984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474142688).

9465984000 is an abundant number, since it is smaller than the sum of its proper divisors (29482301376).

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

9465984000 is a wasteful number, since it uses less digits than its factorization.

9465984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9465984000 is about 97293.2885660671. The cubic root of 9465984000 is about 2115.3809484319.

The spelling of 9465984000 in words is "nine billion, four hundred sixty-five million, nine hundred eighty-four thousand".