9770413685760 has 1056 divisors, whose sum is σ = 42350913451392. Its totient is φ = 2027602575360.

The previous prime is 9770413685741. The next prime is 9770413685761. The reversal of 9770413685760 is 675863140779.

9770413685760 is a `hidden beast` number, since 9 + 7 + 70 + 413 + 6 + 85 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9770413685761) 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 95 ways as a sum of consecutive naturals, for example, 255770982 + ... + 255809178.

Almost surely, 2^{9770413685760} is an apocalyptic number.

9770413685760 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 9770413685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175456725696).

9770413685760 is an abundant number, since it is smaller than the sum of its proper divisors (32580499765632).

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

9770413685760 is a wasteful number, since it uses less digits than its factorization.

9770413685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38309 (or 38288 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 9770413685760 in words is "nine trillion, seven hundred seventy billion, four hundred thirteen million, six hundred eighty-five thousand, seven hundred sixty".