6605154028800 has 864 divisors, whose sum is σ = 25426705920000. Its totient is φ = 1675584921600.

The previous prime is 6605154028793. The next prime is 6605154028801. The reversal of 6605154028800 is 88204515066.

6605154028800 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 1 + 540 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6605154028801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316040751 + ... + 316061649.

Almost surely, 2^{6605154028800} is an apocalyptic number.

6605154028800 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 6605154028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713352960000).

6605154028800 is an abundant number, since it is smaller than the sum of its proper divisors (18821551891200).

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

6605154028800 is a wasteful number, since it uses less digits than its factorization.

6605154028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 6605154028800 in words is "six trillion, six hundred five billion, one hundred fifty-four million, twenty-eight thousand, eight hundred".