6725775283200 has 1584 divisors, whose sum is σ = 26146010030400. Its totient is φ = 1646670643200.

The previous prime is 6725775283177. The next prime is 6725775283223. The reversal of 6725775283200 is 23825775276.

6725775283200 is a `hidden beast` number, since 6 + 7 + 25 + 77 + 528 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6725775283177) and next prime (6725775283223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23765990259 + ... + 23765990541.

Almost surely, 2^{6725775283200} is an apocalyptic number.

6725775283200 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 6725775283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073005015200).

6725775283200 is an abundant number, since it is smaller than the sum of its proper divisors (19420234747200).

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

6725775283200 is a wasteful number, since it uses less digits than its factorization.

6725775283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 6725775283200 in words is "six trillion, seven hundred twenty-five billion, seven hundred seventy-five million, two hundred eighty-three thousand, two hundred".