2705684645664 has 960 divisors, whose sum is σ = 10713686683392. Its totient is φ = 646913433600.

The previous prime is 2705684645663. The next prime is 2705684645681. The reversal of 2705684645664 is 4665464865072.

2705684645664 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 6 + 8 + 4 + 64 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2705684645663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1092321994 + ... + 1092324470.

Almost surely, 2^{2705684645664} is an apocalyptic number.

2705684645664 is a gapful number since it is divisible by the number (24) 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 2705684645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356843341696).

2705684645664 is an abundant number, since it is smaller than the sum of its proper divisors (8008002037728).

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

2705684645664 is a wasteful number, since it uses less digits than its factorization.

2705684645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 2705684645664 in words is "two trillion, seven hundred five billion, six hundred eighty-four million, six hundred forty-five thousand, six hundred sixty-four".