2706082799616 has 1008 divisors, whose sum is σ = 9544021763328. Its totient is φ = 735746457600.

The previous prime is 2706082799597. The next prime is 2706082799699. The reversal of 2706082799616 is 6169972806072.

2706082799616 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 0 + 8 + 2 + 7 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8175476571 + ... + 8175476901.

Almost surely, 2^{2706082799616} 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 2706082799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772010881664).

2706082799616 is an abundant number, since it is smaller than the sum of its proper divisors (6837938963712).

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

2706082799616 is a wasteful number, since it uses less digits than its factorization.

2706082799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 2706082799616 in words is "two trillion, seven hundred six billion, eighty-two million, seven hundred ninety-nine thousand, six hundred sixteen".