9966390336 has 336 divisors, whose sum is σ = 34295998464. Its totient is φ = 2810681856.

The previous prime is 9966390323. The next prime is 9966390361. The reversal of 9966390336 is 6330936699.

9966390336 is a nontrivial binomial coefficient, being equal to C(141184, 2).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9035161 + ... + 9036263.

It is an arithmetic number, because the mean of its divisors is an integer number (102071424).

Almost surely, 2^9966390336 is an apocalyptic number.

9966390336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9966390336 is the 141183-rd triangular number and also the 70592-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147999232).

9966390336 is an abundant number, since it is smaller than the sum of its proper divisors (24329608128).

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

9966390336 is a wasteful number, since it uses less digits than its factorization.

9966390336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 9966390336 is about 99831.8102410249. The cubic root of 9966390336 is about 2152.0183200257.

The spelling of 9966390336 in words is "nine billion, nine hundred sixty-six million, three hundred ninety thousand, three hundred thirty-six".