9677897349120 has 4608 divisors, whose sum is σ = 49472359372800. Its totient is φ = 1747105873920.

The previous prime is 9677897349089. The next prime is 9677897349157. The reversal of 9677897349120 is 219437987769.

9677897349120 is a `hidden beast` number, since 9 + 6 + 7 + 78 + 97 + 349 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 569288079352 + ... + 569288079368.

It is an arithmetic number, because the mean of its divisors is an integer number (10736189100).

Almost surely, 2^{9677897349120} is an apocalyptic number.

9677897349120 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 9677897349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736179686400).

9677897349120 is an abundant number, since it is smaller than the sum of its proper divisors (39794462023680).

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

9677897349120 is a wasteful number, since it uses less digits than its factorization.

9677897349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 9677897349120 in words is "nine trillion, six hundred seventy-seven billion, eight hundred ninety-seven million, three hundred forty-nine thousand, one hundred twenty".