2673603532800 has 432 divisors, whose sum is σ = 9594756990000. Its totient is φ = 711497809920.

The previous prime is 2673603532793. The next prime is 2673603532829. The reversal of 2673603532800 is 82353063762.

2673603532800 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 603 + 5 + 32 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234541501 + ... + 234552899.

It is an arithmetic number, because the mean of its divisors is an integer number (22210085625).

Almost surely, 2^{2673603532800} is an apocalyptic number.

2673603532800 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 2673603532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797378495000).

2673603532800 is an abundant number, since it is smaller than the sum of its proper divisors (6921153457200).

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

2673603532800 is a wasteful number, since it uses less digits than its factorization.

2673603532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2673603532800 in words is "two trillion, six hundred seventy-three billion, six hundred three million, five hundred thirty-two thousand, eight hundred".