6725593450800 has 540 divisors, whose sum is σ = 27170640915600. Its totient is φ = 1536123294720.

The previous prime is 6725593450663. The next prime is 6725593450819. The reversal of 6725593450800 is 80543955276.

6725593450800 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 593 + 45 + 0 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 246769974 + ... + 246797226.

Almost surely, 2^{6725593450800} is an apocalyptic number.

6725593450800 is a gapful number since it is divisible by the number (60) 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 6725593450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585320457800).

6725593450800 is an abundant number, since it is smaller than the sum of its proper divisors (20445047464800).

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

6725593450800 is a wasteful number, since it uses less digits than its factorization.

6725593450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28690 (or 28669 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 6725593450800 in words is "six trillion, seven hundred twenty-five billion, five hundred ninety-three million, four hundred fifty thousand, eight hundred".