9634960587780 has 384 divisors, whose sum is σ = 32788343185920. Its totient is φ = 2329482240000.

The previous prime is 9634960587779. The next prime is 9634960587787. The reversal of 9634960587780 is 877850694369.

9634960587780 is a `hidden beast` number, since 9 + 6 + 3 + 4 + 9 + 605 + 8 + 7 + 7 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9634960587699 and 9634960587708.

It is not an unprimeable number, because it can be changed into a prime (9634960587787) 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 127 ways as a sum of consecutive naturals, for example, 5349782880 + ... + 5349784680.

It is an arithmetic number, because the mean of its divisors is an integer number (85386310380).

Almost surely, 2^{9634960587780} is an apocalyptic number.

9634960587780 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 9634960587780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394171592960).

9634960587780 is an abundant number, since it is smaller than the sum of its proper divisors (23153382598140).

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

9634960587780 is a wasteful number, since it uses less digits than its factorization.

9634960587780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 9634960587780 in words is "nine trillion, six hundred thirty-four billion, nine hundred sixty million, five hundred eighty-seven thousand, seven hundred eighty".