9662400000 has 720 divisors, whose sum is σ = 38647745136. Its totient is φ = 2304000000.

The previous prime is 9662399947. The next prime is 9662400023. The reversal of 9662400000 is 42669.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158399970 + ... + 158400030.

Almost surely, 2^9662400000 is an apocalyptic number.

9662400000 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 9662400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323872568).

9662400000 is an abundant number, since it is smaller than the sum of its proper divisors (28985345136).

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

9662400000 is an equidigital number, since it uses as much as digits as its factorization.

9662400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9662400000 is about 98297.5075981075. The cubic root of 9662400000 is about 2129.9120508551.

Adding to 9662400000 its reverse (42669), we get a palindrome (9662442669).

The spelling of 9662400000 in words is "nine billion, six hundred sixty-two million, four hundred thousand".