9986460507660 has 768 divisors, whose sum is σ = 35670078259200. Its totient is φ = 2031600807936.

The previous prime is 9986460507641. The next prime is 9986460507671. The reversal of 9986460507660 is 667050646899.

9986460507660 = T₁ + T₂ + ... + T₃₉₁₃₀.

9986460507660 is a nontrivial binomial coefficient, being equal to C(39132, 3).

It is a junction number, because it is equal to n+sod(n) for n = 9986460507591 and 9986460507600.

It is an unprimeable number.

It is the 39130-th tetrahedral number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9187175637 + ... + 9187176723.

It is an arithmetic number, because the mean of its divisors is an integer number (46445414400).

Almost surely, 2^{9986460507660} 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 9986460507660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835039129600).

9986460507660 is an abundant number, since it is smaller than the sum of its proper divisors (25683617751540).

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

9986460507660 is a wasteful number, since it uses less digits than its factorization.

9986460507660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 9986460507660 in words is "nine trillion, nine hundred eighty-six billion, four hundred sixty million, five hundred seven thousand, six hundred sixty".