9739868160 has 768 divisors, whose sum is σ = 37645171200. Its totient is φ = 2123366400.

The previous prime is 9739868137. The next prime is 9739868219. The reversal of 9739868160 is 618689379.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9739868160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237557740 + ... + 237557780.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^9739868160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9739868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

9739868160 is an abundant number, since it is smaller than the sum of its proper divisors (27905303040).

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

9739868160 is a wasteful number, since it uses less digits than its factorization.

9739868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 9739868160 is about 98690.7703891301. The cubic root of 9739868160 is about 2135.5890861842.

The spelling of 9739868160 in words is "nine billion, seven hundred thirty-nine million, eight hundred sixty-eight thousand, one hundred sixty".