9996844677120 has 960 divisors, whose sum is σ = 41063232450240. Its totient is φ = 2278711885824.

The previous prime is 9996844677107. The next prime is 9996844677133. The reversal of 9996844677120 is 217764486999.

9996844677120 is a `hidden beast` number, since 9 + 9 + 96 + 8 + 4 + 467 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9996844677107) and next prime (9996844677133).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2305011592 + ... + 2305015928.

It is an arithmetic number, because the mean of its divisors is an integer number (42774200469).

Almost surely, 2^{9996844677120} is an apocalyptic number.

9996844677120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996844677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20531616225120).

9996844677120 is an abundant number, since it is smaller than the sum of its proper divisors (31066387773120).

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

9996844677120 is a wasteful number, since it uses less digits than its factorization.

9996844677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 9996844677120 in words is "nine trillion, nine hundred ninety-six billion, eight hundred forty-four million, six hundred seventy-seven thousand, one hundred twenty".