2673505195648 has 128 divisors (see below), whose sum is σ = 6140618035200. Its totient is φ = 1135715343360.

The previous prime is 2673505195637. The next prime is 2673505195693. The reversal of 2673505195648 is 8465915053762.

2673505195648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104099673 + ... + 104125351.

It is an arithmetic number, because the mean of its divisors is an integer number (47973578400).

It is a 1-persistent number, because it is pandigital, but 2⋅2673505195648 = 5347010391296 is not.

Almost surely, 2^{2673505195648} is an apocalyptic number.

2673505195648 is a gapful number since it is divisible by the number (28) 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 2673505195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070309017600).

2673505195648 is an abundant number, since it is smaller than the sum of its proper divisors (3467112839552).

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

2673505195648 is a wasteful number, since it uses less digits than its factorization.

2673505195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26718 (or 26706 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 2673505195648 in words is "two trillion, six hundred seventy-three billion, five hundred five million, one hundred ninety-five thousand, six hundred forty-eight".