9984929350760 has 512 divisors, whose sum is σ = 29111503196160. Its totient is φ = 2998626656256.

The previous prime is 9984929350723. The next prime is 9984929350813. The reversal of 9984929350760 is 670539294899.

9984929350760 = T₁ + T₂ + ... + T₃₉₁₂₈.

9984929350760 is a nontrivial binomial coefficient, being equal to C(39130, 3).

It is a super-2 number, since 2×9984929350760² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is the 39128-th tetrahedral 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 127 ways as a sum of consecutive naturals, for example, 765532799 + ... + 765545841.

It is an arithmetic number, because the mean of its divisors is an integer number (56858404680).

Almost surely, 2^{9984929350760} 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 9984929350760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555751598080).

9984929350760 is an abundant number, since it is smaller than the sum of its proper divisors (19126573845400).

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

9984929350760 is a wasteful number, since it uses less digits than its factorization.

9984929350760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 71.

The spelling of 9984929350760 in words is "nine trillion, nine hundred eighty-four billion, nine hundred twenty-nine million, three hundred fifty thousand, seven hundred sixty".