9077727559680 has 2304 divisors, whose sum is σ = 38332436889600. Its totient is φ = 2018047426560.

The previous prime is 9077727559669. The next prime is 9077727559687. The reversal of 9077727559680 is 869557277709.

9077727559680 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 7 + 2 + 7 + 559 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 9077727559599 and 9077727559608.

It is not an unprimeable number, because it can be changed into a prime (9077727559687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135488471007 + ... + 135488471073.

It is an arithmetic number, because the mean of its divisors is an integer number (16637342400).

Almost surely, 2^{9077727559680} is an apocalyptic number.

9077727559680 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 9077727559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166218444800).

9077727559680 is an abundant number, since it is smaller than the sum of its proper divisors (29254709329920).

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

9077727559680 is a wasteful number, since it uses less digits than its factorization.

9077727559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 72.

The spelling of 9077727559680 in words is "nine trillion, seventy-seven billion, seven hundred twenty-seven million, five hundred fifty-nine thousand, six hundred eighty".