6065773484400 has 1440 divisors, whose sum is σ = 26282873344000. Its totient is φ = 1341509299200.

The previous prime is 6065773484387. The next prime is 6065773484417. The reversal of 6065773484400 is 44843775606.

6065773484400 is a `hidden beast` number, since 6 + 0 + 6 + 57 + 73 + 484 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1033524666 + ... + 1033530534.

Almost surely, 2^{6065773484400} is an apocalyptic number.

6065773484400 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 6065773484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141436672000).

6065773484400 is an abundant number, since it is smaller than the sum of its proper divisors (20217099859600).

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

6065773484400 is a wasteful number, since it uses less digits than its factorization.

6065773484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 6065773484400 in words is "six trillion, sixty-five billion, seven hundred seventy-three million, four hundred eighty-four thousand, four hundred".