2079368079936 has 672 divisors, whose sum is σ = 7058824185600. Its totient is φ = 536120524800.

The previous prime is 2079368079869. The next prime is 2079368079941. The reversal of 2079368079936 is 6399708639702.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2079368079936³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700358260 + ... + 700361228.

Almost surely, 2^{2079368079936} 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 2079368079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529412092800).

2079368079936 is an abundant number, since it is smaller than the sum of its proper divisors (4979456105664).

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

2079368079936 is a wasteful number, since it uses less digits than its factorization.

2079368079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 69.

The spelling of 2079368079936 in words is "two trillion, seventy-nine billion, three hundred sixty-eight million, seventy-nine thousand, nine hundred thirty-six".