9842152320 has 1024 divisors, whose sum is σ = 46884096000. Its totient is φ = 1884487680.

The previous prime is 9842152277. The next prime is 9842152337. The reversal of 9842152320 is 232512489.

It is a happy number.

9842152320 is a `hidden beast` number, since 98 + 4 + 21 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17296996 + ... + 17297564.

It is an arithmetic number, because the mean of its divisors is an integer number (45785250).

Almost surely, 2^9842152320 is an apocalyptic number.

9842152320 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 9842152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048000).

9842152320 is an abundant number, since it is smaller than the sum of its proper divisors (37041943680).

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

9842152320 is a wasteful number, since it uses less digits than its factorization.

9842152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9842152320 is about 99207.6222878061. The cubic root of 9842152320 is about 2143.0387667769.

The spelling of 9842152320 in words is "nine billion, eight hundred forty-two million, one hundred fifty-two thousand, three hundred twenty".