9948659760 has 400 divisors, whose sum is σ = 39405665376. Its totient is φ = 2304516096.

The previous prime is 9948659719. The next prime is 9948659761. The reversal of 9948659760 is 679568499.

It is a happy number.

9948659760 is a `hidden beast` number, since 9 + 9 + 486 + 5 + 97 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9948659761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1428607 + ... + 1435553.

Almost surely, 2^9948659760 is an apocalyptic number.

9948659760 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 9948659760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702832688).

9948659760 is an abundant number, since it is smaller than the sum of its proper divisors (29457005616).

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

9948659760 is a wasteful number, since it uses less digits than its factorization.

9948659760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 9948659760 is about 99742.9684739731. The cubic root of 9948659760 is about 2150.7413891689.

The spelling of 9948659760 in words is "nine billion, nine hundred forty-eight million, six hundred fifty-nine thousand, seven hundred sixty".