9978843600 has 960 divisors, whose sum is σ = 42212655360. Its totient is φ = 2239488000.

The previous prime is 9978843559. The next prime is 9978843601. The reversal of 9978843600 is 63488799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978843601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163587570 + ... + 163587630.

It is an arithmetic number, because the mean of its divisors is an integer number (43971516).

Almost surely, 2^9978843600 is an apocalyptic number.

9978843600 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 9978843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21106327680).

9978843600 is an abundant number, since it is smaller than the sum of its proper divisors (32233811760).

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

9978843600 is a wasteful number, since it uses less digits than its factorization.

9978843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

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

The square root of 9978843600 is about 99894.1619915799. The cubic root of 9978843600 is about 2152.9142812455.

The spelling of 9978843600 in words is "nine billion, nine hundred seventy-eight million, eight hundred forty-three thousand, six hundred".