6655641112800 has 720 divisors, whose sum is σ = 24527338399872. Its totient is φ = 1763512819200.

The previous prime is 6655641112789. The next prime is 6655641112847. The reversal of 6655641112800 is 82111465566.

6655641112800 is a `hidden beast` number, since 6 + 6 + 5 + 564 + 1 + 1 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 2629647535 + ... + 2629650065.

Almost surely, 2^{6655641112800} is an apocalyptic number.

6655641112800 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 6655641112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263669199936).

6655641112800 is an abundant number, since it is smaller than the sum of its proper divisors (17871697287072).

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

6655641112800 is an equidigital number, since it uses as much as digits as its factorization.

6655641112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 6655641112800 in words is "six trillion, six hundred fifty-five billion, six hundred forty-one million, one hundred twelve thousand, eight hundred".