2705707696896 has 216 divisors, whose sum is σ = 8461589061744. Its totient is φ = 828145336320.

The previous prime is 2705707696877. The next prime is 2705707696907. The reversal of 2705707696896 is 6986967075072.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763455 + ... + 2448321.

It is an arithmetic number, because the mean of its divisors is an integer number (39174023434).

Almost surely, 2^{2705707696896} 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 2705707696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230794530872).

2705707696896 is an abundant number, since it is smaller than the sum of its proper divisors (5755881364848).

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

2705707696896 is a wasteful number, since it uses less digits than its factorization.

2705707696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684947 (or 1684930 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 2705707696896 in words is "two trillion, seven hundred five billion, seven hundred seven million, six hundred ninety-six thousand, eight hundred ninety-six".