9846869760 has 1152 divisors, whose sum is σ = 44833259520. Its totient is φ = 1990656000.

The previous prime is 9846869743. The next prime is 9846869803. The reversal of 9846869760 is 679686489.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493710 + ... + 97493810.

It is an arithmetic number, because the mean of its divisors is an integer number (38917760).

Almost surely, 2^9846869760 is an apocalyptic number.

9846869760 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 9846869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416629760).

9846869760 is an abundant number, since it is smaller than the sum of its proper divisors (34986389760).

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

9846869760 is a wasteful number, since it uses less digits than its factorization.

9846869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 9846869760 is about 99231.3950320160. The cubic root of 9846869760 is about 2143.3811052439.

The spelling of 9846869760 in words is "nine billion, eight hundred forty-six million, eight hundred sixty-nine thousand, seven hundred sixty".