6065697484800 has 2496 divisors, whose sum is σ = 25554284421120. Its totient is φ = 1401421824000.

The previous prime is 6065697484799. The next prime is 6065697484807. The reversal of 6065697484800 is 84847965606.

6065697484800 is a `hidden beast` number, since 6 + 0 + 65 + 6 + 97 + 4 + 8 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6065697484807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33512140710 + ... + 33512140890.

It is an arithmetic number, because the mean of its divisors is an integer number (10238094720).

Almost surely, 2^{6065697484800} is an apocalyptic number.

6065697484800 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 6065697484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777142210560).

6065697484800 is an abundant number, since it is smaller than the sum of its proper divisors (19488586936320).

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

6065697484800 is a wasteful number, since it uses less digits than its factorization.

6065697484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6065697484800 in words is "six trillion, sixty-five billion, six hundred ninety-seven million, four hundred eighty-four thousand, eight hundred".