9994065120 has 480 divisors, whose sum is σ = 38361889440. Its totient is φ = 2460077568.

The previous prime is 9994065089. The next prime is 9994065127. The reversal of 9994065120 is 215604999.

9994065120 is a `hidden beast` number, since 9 + 99 + 40 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×9994065120² (a number of 21 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3042 × 1170 × 2808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9994065127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 768774234 + ... + 768774246.

It is an arithmetic number, because the mean of its divisors is an integer number (79920603).

Almost surely, 2^9994065120 is an apocalyptic number.

9994065120 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 9994065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180944720).

9994065120 is an abundant number, since it is smaller than the sum of its proper divisors (28367824320).

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

9994065120 is an frugal number, since it uses more digits than its factorization.

9994065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9994065120 is about 99970.3211958429. The cubic root of 9994065120 is about 2154.0083953087.

The spelling of 9994065120 in words is "nine billion, nine hundred ninety-four million, sixty-five thousand, one hundred twenty".