9756499680 has 192 divisors, whose sum is σ = 34468519680. Its totient is φ = 2577295872.

The previous prime is 9756499679. The next prime is 9756499681. The reversal of 9756499680 is 869946579.

It is a happy number.

9756499680 is a `hidden beast` number, since 9 + 7 + 564 + 9 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9756499679) and next prime (9756499681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9756499681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451687 + ... + 472793.

It is an arithmetic number, because the mean of its divisors is an integer number (179523540).

Almost surely, 2^9756499680 is an apocalyptic number.

9756499680 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 9756499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234259840).

9756499680 is an abundant number, since it is smaller than the sum of its proper divisors (24712020000).

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

9756499680 is a wasteful number, since it uses less digits than its factorization.

9756499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21238 (or 21224 counting only the distinct ones).

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

The square root of 9756499680 is about 98774.9952164008. The cubic root of 9756499680 is about 2136.8039518824.

The spelling of 9756499680 in words is "nine billion, seven hundred fifty-six million, four hundred ninety-nine thousand, six hundred eighty".