9820414968 has 96 divisors (see below), whose sum is σ = 30756292560. Its totient is φ = 2589995520.

The previous prime is 9820414943. The next prime is 9820414987. The reversal of 9820414968 is 8694140289.

It is a self number, because there is not a number n which added to its sum of digits gives 9820414968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305893 + ... + 336468.

Almost surely, 2^9820414968 is an apocalyptic number.

9820414968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

9820414968 is an abundant number, since it is smaller than the sum of its proper divisors (20935877592).

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

9820414968 is a wasteful number, since it uses less digits than its factorization.

9820414968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642397 (or 642386 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 9820414968 is about 99098.0068820761. The cubic root of 9820414968 is about 2141.4599005649.

The spelling of 9820414968 in words is "nine billion, eight hundred twenty million, four hundred fourteen thousand, nine hundred sixty-eight".