2673281568800 has 144 divisors (see below), whose sum is σ = 6611298099840. Its totient is φ = 1055371299840.

The previous prime is 2673281568773. The next prime is 2673281568809. The reversal of 2673281568800 is 88651823762.

It is a happy number.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2673281568809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205583099 + ... + 205596101.

It is an arithmetic number, because the mean of its divisors is an integer number (45911792360).

Almost surely, 2^{2673281568800} is an apocalyptic number.

2673281568800 is a gapful number since it is divisible by the number (20) 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 2673281568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305649049920).

2673281568800 is an abundant number, since it is smaller than the sum of its proper divisors (3938016531040).

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

2673281568800 is a wasteful number, since it uses less digits than its factorization.

2673281568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16355 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 2673281568800 in words is "two trillion, six hundred seventy-three billion, two hundred eighty-one million, five hundred sixty-eight thousand, eight hundred".