2757606985728 has 936 divisors, whose sum is σ = 9611009059392. Its totient is φ = 774827016192.

The previous prime is 2757606985703. The next prime is 2757606985747. The reversal of 2757606985728 is 8275896067572.

2757606985728 is a `hidden beast` number, since 2 + 7 + 5 + 7 + 606 + 9 + 8 + 5 + 7 + 2 + 8 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20128518076 + ... + 20128518212.

It is an arithmetic number, because the mean of its divisors is an integer number (10268172072).

Almost surely, 2^{2757606985728} is an apocalyptic number.

2757606985728 is a gapful number since it is divisible by the number (28) 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 2757606985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805504529696).

2757606985728 is an abundant number, since it is smaller than the sum of its proper divisors (6853402073664).

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

2757606985728 is an frugal number, since it uses more digits than its factorization.

2757606985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 2757606985728 in words is "two trillion, seven hundred fifty-seven billion, six hundred six million, nine hundred eighty-five thousand, seven hundred twenty-eight".