9964275381760 has 320 divisors, whose sum is σ = 27485962035840. Its totient is φ = 3393599569920.

The previous prime is 9964275381757. The next prime is 9964275381763. The reversal of 9964275381760 is 671835724699.

It is an interprime number because it is at equal distance from previous prime (9964275381757) and next prime (9964275381763).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964275381763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2686510786 + ... + 2686514494.

It is an arithmetic number, because the mean of its divisors is an integer number (85893631362).

It is a 1-persistent number, because it is pandigital, but 2⋅9964275381760 = 19928550763520 is not.

Almost surely, 2^{9964275381760} 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 9964275381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742981017920).

9964275381760 is an abundant number, since it is smaller than the sum of its proper divisors (17521686654080).

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

9964275381760 is a wasteful number, since it uses less digits than its factorization.

9964275381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 9964275381760 in words is "nine trillion, nine hundred sixty-four billion, two hundred seventy-five million, three hundred eighty-one thousand, seven hundred sixty".