9978727500 has 480 divisors, whose sum is σ = 37787904000. Its totient is φ = 2275560000.

The previous prime is 9978727489. The next prime is 9978727501. The reversal of 9978727500 is 57278799.

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

It is not an unprimeable number, because it can be changed into a prime (9978727501) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23152285 + ... + 23152715.

It is an arithmetic number, because the mean of its divisors is an integer number (78724800).

Almost surely, 2^9978727500 is an apocalyptic number.

9978727500 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 9978727500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18893952000).

9978727500 is an abundant number, since it is smaller than the sum of its proper divisors (27809176500).

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

9978727500 is a wasteful number, since it uses less digits than its factorization.

9978727500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 9978727500 is about 99893.5808748490. The cubic root of 9978727500 is about 2152.9059317704.

The spelling of 9978727500 in words is "nine billion, nine hundred seventy-eight million, seven hundred twenty-seven thousand, five hundred".