2673727056000 has 3584 divisors, whose sum is σ = 13440395404800. Its totient is φ = 510603264000.

The previous prime is 2673727055999. The next prime is 2673727056019. The reversal of 2673727056000 is 6507273762.

2673727056000 is a `hidden beast` number, since 2 + 6 + 7 + 37 + 2 + 7 + 0 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11675663886 + ... + 11675664114.

It is an arithmetic number, because the mean of its divisors is an integer number (3750110325).

Almost surely, 2^{2673727056000} is an apocalyptic number.

2673727056000 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 2673727056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720197702400).

2673727056000 is an abundant number, since it is smaller than the sum of its proper divisors (10766668348800).

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

2673727056000 is a wasteful number, since it uses less digits than its factorization.

2673727056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 2673727056000 in words is "two trillion, six hundred seventy-three billion, seven hundred twenty-seven million, fifty-six thousand".