9666383657040 has 1200 divisors, whose sum is σ = 37603413883728. Its totient is φ = 2299207680000.

The previous prime is 9666383657027. The next prime is 9666383657041. The reversal of 9666383657040 is 407563836669.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 546611806224 + 9119771850816 = 739332^2 + 3019896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666383657041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16083832740 + ... + 16083833340.

Almost surely, 2^{9666383657040} is an apocalyptic number.

9666383657040 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 9666383657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801706941864).

9666383657040 is an abundant number, since it is smaller than the sum of its proper divisors (27937030226688).

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

9666383657040 is a wasteful number, since it uses less digits than its factorization.

9666383657040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 9666383657040 in words is "nine trillion, six hundred sixty-six billion, three hundred eighty-three million, six hundred fifty-seven thousand, forty".