9978601248 has 720 divisors, whose sum is σ = 39091719744. Its totient is φ = 2425282560.

The previous prime is 9978601229. The next prime is 9978601277. The reversal of 9978601248 is 8421068799.

9978601248 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 601 + 24 + 8 = 666.

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 = 9978601194 and 9978601203.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57679690 + ... + 57679862.

Almost surely, 2^9978601248 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 9978601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19545859872).

9978601248 is an abundant number, since it is smaller than the sum of its proper divisors (29113118496).

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

9978601248 is a wasteful number, since it uses less digits than its factorization.

9978601248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9978601248 is about 99892.9489403531. The cubic root of 9978601248 is about 2152.8968521282.

The spelling of 9978601248 in words is "nine billion, nine hundred seventy-eight million, six hundred one thousand, two hundred forty-eight".