9855967680 has 448 divisors, whose sum is σ = 38261422080. Its totient is φ = 2373193728.

The previous prime is 9855967661. The next prime is 9855967687. The reversal of 9855967680 is 867695589.

9855967680 is a `hidden beast` number, since 9 + 8 + 559 + 6 + 76 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855967687) 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, 5278107 + ... + 5279973.

It is an arithmetic number, because the mean of its divisors is an integer number (85404960).

Almost surely, 2^9855967680 is an apocalyptic number.

9855967680 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 9855967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130711040).

9855967680 is an abundant number, since it is smaller than the sum of its proper divisors (28405454400).

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

9855967680 is a wasteful number, since it uses less digits than its factorization.

9855967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 9855967680 is about 99277.2263915547. The cubic root of 9855967680 is about 2144.0410207864.

The spelling of 9855967680 in words is "nine billion, eight hundred fifty-five million, nine hundred sixty-seven thousand, six hundred eighty".