2687709413376 has 1360 divisors, whose sum is σ = 9591880636800. Its totient is φ = 741989154816.

The previous prime is 2687709413327. The next prime is 2687709413377. The reversal of 2687709413376 is 6733149077862.

2687709413376 is a `hidden beast` number, since 2 + 6 + 87 + 70 + 9 + 413 + 3 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687709413377) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 34021638105 + ... + 34021638183.

Almost surely, 2^{2687709413376} is an apocalyptic number.

2687709413376 is a gapful number since it is divisible by the number (26) 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 2687709413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795940318400).

2687709413376 is an abundant number, since it is smaller than the sum of its proper divisors (6904171223424).

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

2687709413376 is an equidigital number, since it uses as much as digits as its factorization.

2687709413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 2687709413376 in words is "two trillion, six hundred eighty-seven billion, seven hundred nine million, four hundred thirteen thousand, three hundred seventy-six".