2673555406848 has 288 divisors, whose sum is σ = 8106300417600. Its totient is φ = 870410354688.

The previous prime is 2673555406811. The next prime is 2673555406859. The reversal of 2673555406848 is 8486045553762.

2673555406848 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 5 + 5 + 540 + 6 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 152165808 + ... + 152183376.

It is an arithmetic number, because the mean of its divisors is an integer number (28146876450).

Almost surely, 2^{2673555406848} 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 2673555406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053150208800).

2673555406848 is an abundant number, since it is smaller than the sum of its proper divisors (5432745010752).

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

2673555406848 is an frugal number, since it uses more digits than its factorization.

2673555406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17655 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 2673555406848 in words is "two trillion, six hundred seventy-three billion, five hundred fifty-five million, four hundred six thousand, eight hundred forty-eight".