2779871363064 has 128 divisors (see below), whose sum is σ = 7819973952000. Its totient is φ = 926294577120.

The previous prime is 2779871363021. The next prime is 2779871363077. The reversal of 2779871363064 is 4603631789772.

It is a junction number, because it is equal to n+sod(n) for n = 2779871362992 and 2779871363010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51953877 + ... + 52007355.

It is an arithmetic number, because the mean of its divisors is an integer number (61093546500).

Almost surely, 2^{2779871363064} is an apocalyptic number.

2779871363064 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 2779871363064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909986976000).

2779871363064 is an abundant number, since it is smaller than the sum of its proper divisors (5040102588936).

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

2779871363064 is an equidigital number, since it uses as much as digits as its factorization.

2779871363064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56477 (or 56455 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 2779871363064 in words is "two trillion, seven hundred seventy-nine billion, eight hundred seventy-one million, three hundred sixty-three thousand, sixty-four".