2676525845760 has 540 divisors, whose sum is σ = 10370535966252. Its totient is φ = 658832818176.

The previous prime is 2676525845743. The next prime is 2676525845767. The reversal of 2676525845760 is 675485256762.

2676525845760 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 5 + 2 + 58 + 4 + 576 + 0 = 666.

2676525845760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 94873856256 + 2581651989504 = 308016^2 + 1606752^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676525845767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17445544 + ... + 17598296.

Almost surely, 2^{2676525845760} is an apocalyptic number.

2676525845760 is a gapful number since it is divisible by the number (20) 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 2676525845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185267983126).

2676525845760 is an abundant number, since it is smaller than the sum of its proper divisors (7694010120492).

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

2676525845760 is a wasteful number, since it uses less digits than its factorization.

2676525845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152812 (or 152776 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 2676525845760 in words is "two trillion, six hundred seventy-six billion, five hundred twenty-five million, eight hundred forty-five thousand, seven hundred sixty".