9738162720 has 864 divisors, whose sum is σ = 41518661184. Its totient is φ = 2048716800.

The previous prime is 9738162713. The next prime is 9738162737. The reversal of 9738162720 is 272618379.

It is a super-2 number, since 2×9738162720² (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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74337055 + ... + 74337185.

It is an arithmetic number, because the mean of its divisors is an integer number (48054006).

Almost surely, 2^9738162720 is an apocalyptic number.

9738162720 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 9738162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20759330592).

9738162720 is an abundant number, since it is smaller than the sum of its proper divisors (31780498464).

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

9738162720 is a wasteful number, since it uses less digits than its factorization.

9738162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9738162720 is about 98682.1296892198. The cubic root of 9738162720 is about 2135.4644324898.

The spelling of 9738162720 in words is "nine billion, seven hundred thirty-eight million, one hundred sixty-two thousand, seven hundred twenty".