9786847560 has 512 divisors, whose sum is σ = 36981964800. Its totient is φ = 2021760000.

The previous prime is 9786847547. The next prime is 9786847597. The reversal of 9786847560 is 657486879.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9786847494 and 9786847503.

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, 64813485 + ... + 64813635.

It is an arithmetic number, because the mean of its divisors is an integer number (72230400).

Almost surely, 2^9786847560 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 9786847560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490982400).

9786847560 is an abundant number, since it is smaller than the sum of its proper divisors (27195117240).

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

9786847560 is a wasteful number, since it uses less digits than its factorization.

9786847560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The square root of 9786847560 is about 98928.4972088427. The cubic root of 9786847560 is about 2139.0171892569.

The spelling of 9786847560 in words is "nine billion, seven hundred eighty-six million, eight hundred forty-seven thousand, five hundred sixty".