9966063744 has 576 divisors, whose sum is σ = 37331461440. Its totient is φ = 2623186944.

The previous prime is 9966063743. The next prime is 9966063763. The reversal of 9966063744 is 4473606699.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (9966063743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19812997 + ... + 19813499.

It is an arithmetic number, because the mean of its divisors is an integer number (64811565).

Almost surely, 2^9966063744 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 9966063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665730720).

9966063744 is an abundant number, since it is smaller than the sum of its proper divisors (27365397696).

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

9966063744 is a wasteful number, since it uses less digits than its factorization.

9966063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 9966063744 is about 99830.1745165258. The cubic root of 9966063744 is about 2151.9948130314.

The spelling of 9966063744 in words is "nine billion, nine hundred sixty-six million, sixty-three thousand, seven hundred forty-four".