9978143760 has 640 divisors, whose sum is σ = 38742520320. Its totient is φ = 2373857280.

The previous prime is 9978143753. The next prime is 9978143789. The reversal of 9978143760 is 673418799.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 9978143697 and 9978143706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93253627 + ... + 93253733.

It is an arithmetic number, because the mean of its divisors is an integer number (60535188).

Almost surely, 2^9978143760 is an apocalyptic number.

9978143760 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 9978143760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371260160).

9978143760 is an abundant number, since it is smaller than the sum of its proper divisors (28764376560).

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

9978143760 is a wasteful number, since it uses less digits than its factorization.

9978143760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 9978143760 is about 99890.6590227535. The cubic root of 9978143760 is about 2152.8639504051.

The spelling of 9978143760 in words is "nine billion, nine hundred seventy-eight million, one hundred forty-three thousand, seven hundred sixty".