9861246720 has 576 divisors, whose sum is σ = 38569789440. Its totient is φ = 2370650112.

The previous prime is 9861246709. The next prime is 9861246721. The reversal of 9861246720 is 276421689.

It is a happy number.

9861246720 is a `hidden beast` number, since 9 + 8 + 612 + 4 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9861246721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21115927 + ... + 21116393.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 2^9861246720 is an apocalyptic number.

9861246720 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 9861246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

9861246720 is an abundant number, since it is smaller than the sum of its proper divisors (28708542720).

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

9861246720 is a wasteful number, since it uses less digits than its factorization.

9861246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9861246720 is about 99303.8101988036. The cubic root of 9861246720 is about 2144.4237485740.

The spelling of 9861246720 in words is "nine billion, eight hundred sixty-one million, two hundred forty-six thousand, seven hundred twenty".