2685769371648 has 936 divisors, whose sum is σ = 9103713825024. Its totient is φ = 760552488960.

The previous prime is 2685769371641. The next prime is 2685769371667. The reversal of 2685769371648 is 8461739675862.

2685769371648 is a `hidden beast` number, since 2 + 6 + 8 + 576 + 9 + 3 + 7 + 1 + 6 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685769371641) by changing a digit.

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, 4821847786 + ... + 4821848342.

It is an arithmetic number, because the mean of its divisors is an integer number (9726189984).

Almost surely, 2^{2685769371648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685769371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551856912512).

2685769371648 is an abundant number, since it is smaller than the sum of its proper divisors (6417944453376).

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

2685769371648 is a wasteful number, since it uses less digits than its factorization.

2685769371648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 643 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 2685769371648 in words is "two trillion, six hundred eighty-five billion, seven hundred sixty-nine million, three hundred seventy-one thousand, six hundred forty-eight".