9964898217120 has 768 divisors, whose sum is σ = 41779697025024. Its totient is φ = 1948811673600.

The previous prime is 9964898217119. The next prime is 9964898217121. The reversal of 9964898217120 is 217128984699.

It is an interprime number because it is at equal distance from previous prime (9964898217119) and next prime (9964898217121).

It is a super-2 number, since 2×9964898217120² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9964898217121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 75961185 + ... + 76092255.

It is an arithmetic number, because the mean of its divisors is an integer number (54400647168).

Almost surely, 2^{9964898217120} 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 9964898217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889848512512).

9964898217120 is an abundant number, since it is smaller than the sum of its proper divisors (31814798807904).

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

9964898217120 is a wasteful number, since it uses less digits than its factorization.

9964898217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131146 (or 131116 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 9964898217120 in words is "nine trillion, nine hundred sixty-four billion, eight hundred ninety-eight million, two hundred seventeen thousand, one hundred twenty".