9964246540800 has 240 divisors, whose sum is σ = 32947424212032. Its totient is φ = 2654617190400.

The previous prime is 9964246540739. The next prime is 9964246540819. The reversal of 9964246540800 is 80456424699.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40620117 + ... + 40864683.

Almost surely, 2^{9964246540800} 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 9964246540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473712106016).

9964246540800 is an abundant number, since it is smaller than the sum of its proper divisors (22983177671232).

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

9964246540800 is a wasteful number, since it uses less digits than its factorization.

9964246540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245659 (or 245638 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 9964246540800 in words is "nine trillion, nine hundred sixty-four billion, two hundred forty-six million, five hundred forty thousand, eight hundred".