9378760320 has 192 divisors, whose sum is σ = 32511796200. Its totient is φ = 2491293696.

The previous prime is 9378760289. The next prime is 9378760343. The reversal of 9378760320 is 230678739.

It is a happy number.

9378760320 is a `hidden beast` number, since 9 + 37 + 8 + 7 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2887557696 + 6491202624 = 53736^2 + 80568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9378760320² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546414 + ... + 1552466.

Almost surely, 2^9378760320 is an apocalyptic number.

9378760320 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 9378760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255898100).

9378760320 is an abundant number, since it is smaller than the sum of its proper divisors (23133035880).

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

9378760320 is a wasteful number, since it uses less digits than its factorization.

9378760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9378760320 is about 96843.9999173929. Note that the first 4 decimals coincide. The cubic root of 9378760320 is about 2108.8635435009.

The spelling of 9378760320 in words is "nine billion, three hundred seventy-eight million, seven hundred sixty thousand, three hundred twenty".