2673673028400 has 480 divisors, whose sum is σ = 9630921938688. Its totient is φ = 628336742400.

The previous prime is 2673673028359. The next prime is 2673673028417. The reversal of 2673673028400 is 48203763762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2673673028400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135276919 + ... + 135296681.

Almost surely, 2^{2673673028400} is an apocalyptic number.

2673673028400 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 2673673028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815460969344).

2673673028400 is an abundant number, since it is smaller than the sum of its proper divisors (6957248910288).

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

2673673028400 is a wasteful number, since it uses less digits than its factorization.

2673673028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20109 (or 20098 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 2673673028400 in words is "two trillion, six hundred seventy-three billion, six hundred seventy-three million, twenty-eight thousand, four hundred".