9978837960 has 512 divisors, whose sum is σ = 39086530560. Its totient is φ = 1980481536.

The previous prime is 9978837959. The next prime is 9978837961. The reversal of 9978837960 is 697388799.

9978837960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9978837959) and next prime (9978837961).

It is a junction number, because it is equal to n+sod(n) for n = 9978837891 and 9978837900.

It is not an unprimeable number, because it can be changed into a prime (9978837961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16827424 + ... + 16828016.

It is an arithmetic number, because the mean of its divisors is an integer number (76340880).

Almost surely, 2^9978837960 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 9978837960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543265280).

9978837960 is an abundant number, since it is smaller than the sum of its proper divisors (29107692600).

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

9978837960 is a wasteful number, since it uses less digits than its factorization.

9978837960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The square root of 9978837960 is about 99894.1337616979. The cubic root of 9978837960 is about 2152.9138756394.

The spelling of 9978837960 in words is "nine billion, nine hundred seventy-eight million, eight hundred thirty-seven thousand, nine hundred sixty".