9906696330960 has 640 divisors, whose sum is σ = 36720349747200. Its totient is φ = 2177825955840.

The previous prime is 9906696330943. The next prime is 9906696331001. The reversal of 9906696330960 is 690336966099.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9906696330891 and 9906696330900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509882526 + ... + 509901954.

It is an arithmetic number, because the mean of its divisors is an integer number (57375546480).

Almost surely, 2^{9906696330960} 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 9906696330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360174873600).

9906696330960 is an abundant number, since it is smaller than the sum of its proper divisors (26813653416240).

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

9906696330960 is a wasteful number, since it uses less digits than its factorization.

9906696330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19731 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 76527504, while the sum is 66.

The spelling of 9906696330960 in words is "nine trillion, nine hundred six billion, six hundred ninety-six million, three hundred thirty thousand, nine hundred sixty".