2079646370784 has 144 divisors (see below), whose sum is σ = 6052861406592. Its totient is φ = 676945108224.

The previous prime is 2079646370771. The next prime is 2079646370861. The reversal of 2079646370784 is 4870736469702.

It is a happy number.

2079646370784 is a `hidden beast` number, since 2 + 0 + 7 + 96 + 463 + 7 + 0 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65656519 + ... + 65688185.

It is an arithmetic number, because the mean of its divisors is an integer number (42033759768).

Almost surely, 2^{2079646370784} is an apocalyptic number.

2079646370784 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 2079646370784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026430703296).

2079646370784 is an abundant number, since it is smaller than the sum of its proper divisors (3973215035808).

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

2079646370784 is a wasteful number, since it uses less digits than its factorization.

2079646370784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37029 (or 37018 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 2079646370784 in words is "two trillion, seventy-nine billion, six hundred forty-six million, three hundred seventy thousand, seven hundred eighty-four".