2706639801600 has 432 divisors, whose sum is σ = 10745844999680. Its totient is φ = 586098892800.

The previous prime is 2706639801599. The next prime is 2706639801611. The reversal of 2706639801600 is 61089366072.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2706639801600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2023635 + ... + 3083565.

Almost surely, 2^{2706639801600} is an apocalyptic number.

2706639801600 is a gapful number since it is divisible by the number (20) 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 2706639801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372922499840).

2706639801600 is an abundant number, since it is smaller than the sum of its proper divisors (8039205198080).

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

2706639801600 is a wasteful number, since it uses less digits than its factorization.

2706639801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059986 (or 1059967 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 2706639801600 in words is "two trillion, seven hundred six billion, six hundred thirty-nine million, eight hundred one thousand, six hundred".