9849026880 has 672 divisors, whose sum is σ = 44094855168. Its totient is φ = 1956556800.

The previous prime is 9849026849. The next prime is 9849026897. The reversal of 9849026880 is 886209489.

9849026880 is a `hidden beast` number, since 98 + 490 + 2 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5099515 + ... + 5101445.

It is an arithmetic number, because the mean of its divisors is an integer number (65617344).

Almost surely, 2^9849026880 is an apocalyptic number.

9849026880 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 9849026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047427584).

9849026880 is an abundant number, since it is smaller than the sum of its proper divisors (34245828288).

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

9849026880 is a wasteful number, since it uses less digits than its factorization.

9849026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9849026880 is about 99242.2635775706. The cubic root of 9849026880 is about 2143.5376081998.

The spelling of 9849026880 in words is "nine billion, eight hundred forty-nine million, twenty-six thousand, eight hundred eighty".