9677697120 has 1152 divisors, whose sum is σ = 44910028800. Its totient is φ = 1850314752.

The previous prime is 9677697109. The next prime is 9677697137. The reversal of 9677697120 is 217967769.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420769429 + ... + 420769451.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 2^9677697120 is an apocalyptic number.

9677697120 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 9677697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

9677697120 is an abundant number, since it is smaller than the sum of its proper divisors (35232331680).

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

9677697120 is a wasteful number, since it uses less digits than its factorization.

9677697120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 9677697120 is about 98375.2871406229. The cubic root of 9677697120 is about 2131.0354550274.

The spelling of 9677697120 in words is "nine billion, six hundred seventy-seven million, six hundred ninety-seven thousand, one hundred twenty".