9957275680 has 96 divisors (see below), whose sum is σ = 25785200448. Its totient is φ = 3603532800.

The previous prime is 9957275651. The next prime is 9957275689. The reversal of 9957275680 is 865727599.

9957275680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9957275689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357954 + ... + 384766.

It is an arithmetic number, because the mean of its divisors is an integer number (268595838).

Almost surely, 2^9957275680 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 9957275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892600224).

9957275680 is an abundant number, since it is smaller than the sum of its proper divisors (15827924768).

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

9957275680 is a wasteful number, since it uses less digits than its factorization.

9957275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27050 (or 27042 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The square root of 9957275680 is about 99786.1497403322. The cubic root of 9957275680 is about 2151.3620847989.

The spelling of 9957275680 in words is "nine billion, nine hundred fifty-seven million, two hundred seventy-five thousand, six hundred eighty".