9847461960 has 576 divisors, whose sum is σ = 39131164800. Its totient is φ = 2103146496.

The previous prime is 9847461931. The next prime is 9847461961. The reversal of 9847461960 is 691647489.

9847461960 is a `hidden beast` number, since 98 + 4 + 7 + 461 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9847461897 and 9847461906.

It is not an unprimeable number, because it can be changed into a prime (9847461961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110645596 + ... + 110645684.

It is an arithmetic number, because the mean of its divisors is an integer number (67936050).

Almost surely, 2^9847461960 is an apocalyptic number.

9847461960 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 9847461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565582400).

9847461960 is an abundant number, since it is smaller than the sum of its proper divisors (29283702840).

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

9847461960 is a wasteful number, since it uses less digits than its factorization.

9847461960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9847461960 is about 99234.3789218233. The cubic root of 9847461960 is about 2143.4240727005.

The spelling of 9847461960 in words is "nine billion, eight hundred forty-seven million, four hundred sixty-one thousand, nine hundred sixty".